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https://en.wikipedia.org/wiki/Suicide%20in%20Canada | According to the latest available data, Statistics Canada estimates 4,157 suicides took place in Canada in 2017, making it the 9th leading cause of death, between Alzheimer's disease (8th) and cirrhosis and other liver diseases (10th). In 2009, there were an estimated 3,890 suicide deaths.
According to Statistics Canada, in the period from 1950 to 2009, males died by suicide at a rate three times that of women. The much higher rate of male suicide is a long-term pattern in Canada. At all points in time over the past 60 years, males have had higher rates of suicide than females.
During 1999–2003, the suicide rate among Nunavut males aged 15 to 19 was estimated to exceed 800 per 100,000 population, compared to around 14 for the general Canadian male population in that age group.
Suicide rate over time
Rates of suicide in Canada have been fairly constant since the 1920s, averaging annually around twenty (males) and five (females) per 100,000 population, ranging from lows of 14 (males, 1944) and 4 (females, 1925, 1963) to peaks of 27 (males, 1977, 1982) and 10 (females, 1973). During the 2000s, Canada ranked 34th-highest overall among 107 nations' suicide rates.
Demographics and locations
Canada's incidence of suicide – deaths caused by intentional self-harm divided by total deaths from all causes – averaged over the period from 2000 to 2007 for both sexes, was highest in the northern territory of Nunavut, and highest across the country within the age group from 45 to 49 years.
By region and gender
Canadian males experience two periods over their lives when they are most likely to die by suicide—in their late forties, and past the age of ninety—for females there is a single peak, in their early fifties. The peak male rates are 53% above the average for all ages, while for females, the peak is 72% greater.
With 86.5 suicides per 100,000 population in 2006, males' rates over the age of 74 in Russia exceed by threefold Canadian males' rate among the same age cohort. However, Nunavut males of all ages exceeded the elderly Russian male rate by 30%. During 2000–2007, there were between 13 and 25 male suicides recorded annually in the Nunavut territory, accounting for between 16% and 30% of total annual mortality.
In Nunavut, suicide among Inuit is 10 times higher than the Canadian suicide rate. In 2019, Nunavut's suicide rate was reported to be the highest in the world.
By age group
Among Canadians aged 15 to 24, suicide ranked second among the most common causes of death during 2003–2007, accounting for one-fifth of total mortality. In the 45 to 54 age group, its rank was fourth over these years, the cause of 6 per cent of all deaths.
Military
An internal study of suicide rates among Canadian Forces staff deployed over the period 1995 to 2008 found the rate for males in the Regular Forces to be approximately 20% lower than that among the general population of the same age.
However, mortality analysis of 2,800 former Canadian Forces perso |
https://en.wikipedia.org/wiki/Big%20q-Laguerre%20polynomials | In mathematics, the big q-Laguerre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by
Relation to other polynomials
Big q-Laguerre polynomials→Laguerre polynomials
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Affine%20q-Krawtchouk%20polynomials | In mathematics, the affine q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Carlitz and Hodges. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by
Relation to other polynomials
affine q-Krawtchouk polynomials → little q-Laguerre polynomials：
.
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Dual%20q-Krawtchouk%20polynomials | In mathematics, the dual q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by
where
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Continuous%20big%20q-Hermite%20polynomials | In mathematics, the continuous big q-Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions.
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Continuous%20q-Laguerre%20polynomials | In mathematics, the continuous q-Laguerre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by 。
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Little%20q-Laguerre%20polynomials | In mathematics, the little q-Laguerre polynomials pn(x;a|q) or Wall polynomials Wn(x; b,q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme closely related to a continued fraction studied by . (The term "Wall polynomial" is also used for an unrelated Wall polynomial in the theory of classical groups.)
give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by
See also
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Q-Bessel%20polynomials | In mathematics, the q-Bessel polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by ：
Also known as alternative q-Charlier polynomials
Orthogonality
where are q-Pochhammer symbols.
Gallery
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Discrete%20q-Hermite%20polynomials | In mathematics, the discrete q-Hermite polynomials are two closely related families hn(x;q) and ĥn(x;q) of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by . give a detailed list of their properties. hn(x;q) is also called discrete q-Hermite I polynomials and ĥn(x;q) is also called discrete q-Hermite II polynomials.
Definition
The discrete q-Hermite polynomials are given in terms of basic hypergeometric functions and the Al-Salam–Carlitz polynomials by
and are related by
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Q-Meixner%E2%80%93Pollaczek%20polynomials | In mathematics, the q-Meixner–Pollaczek polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by ：
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Q-Meixner%20polynomials | In mathematics, the q-Meixner polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Quantum%20q-Krawtchouk%20polynomials | In mathematics, the quantum q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Q-Krawtchouk%20polynomials | In mathematics, the q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme . give a detailed list of their properties.
showed that the q-Krawtchouk polynomials are spherical functions for 3 different Chevalley groups over finite fields, and showed that they are related to representations of the quantum group SU(2).
Definition
The polynomials are given in terms of basic hypergeometric functions by
See also
affine q-Krawtchouk polynomials
dual q-Krawtchouk polynomials
quantum q-Krawtchouk polynomials
Sources
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Q-Laguerre%20polynomials | In mathematics, the q-Laguerre polynomials, or generalized Stieltjes–Wigert polynomials P(x;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme introduced by . give a detailed list of their properties.
Definition
The q-Laguerre polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by
Orthogonality
Orthogonality is defined by the unimono nature of the polynomials' convergence at boundaries in integral form.
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Continuous%20q-Hermite%20polynomials | In mathematics, the continuous q-Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by
Recurrence and difference relations
with the initial conditions
From the above, one can easily calculate:
Generating function
where .
References
Orthogonal polynomials
Q-analogs
Special hypergeometric functions |
https://en.wikipedia.org/wiki/Virginia%20Tech%20College%20of%20Science | The College of Science at Virginia Tech contains academic programs in eight departments: biology, chemistry, economics, geosciences, mathematics, physics, psychology, and statistics, as well as programs in the School of Neuroscience, the Academy of Integrated Science, and founded in 2020, an Academy of Data Science. For the 2018-209 academic year, the College of Science consisted of 419 faculty members, and 4,305 students, and 600 graduate students The college was established in July 2003 after university restructuring split the College of Arts and Sciences, established in 1963, into two distinct colleges. (The other half became the College of Liberal Arts and Human Sciences.) Lay Nam Chang served as founding dean of the College of Science from 2003 until 2016. In 2016, Sally C. Morton was named dean of the College of Science. Morton served in that role until January 2021, when she departed for Arizona State University and Ronald D. Fricker—senior associate dean and professor in the Department of Statistics—was named interim dean of the College. In February 2022, Kevin T. Pitts was named the named the third official dean of the College of Science.
Academics
The College of Science contains eight departments for undergraduate and graduate study. In addition to these eight departments, the college also offers degrees through the College of Agriculture and Life Sciences' Department of Biochemistry, which offers undergraduate students a bachelor of science in biochemistry and graduate students a master of science or doctoral degree. The college also houses Virginia Tech's two largest undergraduate degree-granting programs, biology and psychology.
Rankings
Virginia Tech's Graduate Science Program as ranked by U.S. News & World Report in May 2019. This list is not inclusive of all College of Science graduate programs.
· The Clinical Psychology program ranks No. 47 overall and according to U.S. News & World Report.[6]
· The Statistics program ranked No. 37 overall.
· The Economics program ranked No. 59 overall.[8]
· The Physics program ranked No. 61 overall.[9]
· The Mathematics program ranked No. 62 overall.[10]
· The Chemistry Program ranked No. 67 overall.[11]
· The Biological Sciences program ranked No. 73 overall.[12]
· According to the U.S. News & World Report's "America Best Graduate Schools 2020" (release in spring 2019), Virginia Tech's earth sciences graduate programs – part of the Department of Geosciences – ranked 28th in the nation. The program has ranked in or near this spot for the past 20 years. The department was founded in 1903, awarding its first bachelor of science degree in 1907.
Biological Sciences
As of 2010, the Department of Biological Sciences contained the largest undergraduate degree-granting program on campus. Undergraduates in this department can earn a Bachelor of Science and have the option to specialize in Microbiology and Immunology. Graduate stu |
https://en.wikipedia.org/wiki/1983%20Cricket%20World%20Cup%20statistics | This is a list of statistics for the 1983 Cricket World Cup.
Team statistics
Highest team totals
The following table lists the ten highest team scores during this tournament.
Batting statistics
Most runs
The top five highest run scorers (total runs) in the tournament are included in this table.
Highest scores
This table contains the top ten highest scores of the tournament made by a batsman in a single innings.
Highest speedboats
The following tables are lists of the highest partnerships for the tournament.
Bowling statistics
Most wickets
The following table contains the ten leading wicket-takers of the tournament.
Best bowling figures
This table lists the top ten players with the best bowling figures in the tournament.
Fielding statistics
Most dismissals
This is a list of the wicketkeepers who have made the most dismissals in the tournament.
Most catches
This is a list of the outfielders who have taken the most catches in the tournament.
References
External links
Cricket World Cup 1983 Stats from Cricinfo
1983 Cricket World Cup
Cricket World Cup statistics |
https://en.wikipedia.org/wiki/Felix%20Arscott | Felix Medland Arscott (12 November 1922 – 5 July 1996) was a British mathematician who was a member of the Society for Industrial and Applied Mathematics from 1976. He was described by colleagues as a good friend and excellent teacher. Dr. Arscott was the founding head of the Applied Mathematics department at University of Manitoba from 1974 through 1986 and was named Professor Emeritus in 1995. Professor Arscott was described as an expert in the "higher special functions".
Felix Arscott was born in 1922 in Greenwich to Leonard Charles Arscott and Gladys Arscott (née Williams), with one sister Faith Muriel (1915–1987). He served in the Royal Air Force during the Second World War, becoming a commissioned officer. He obtained an honours degree in mathematics from the University of London by private study. After obtaining his M.Sc. in 1951, he left the UK to teach mathematics at Makerere University in Uganda. Arscott obtained his Ph.D. at the University of London in 1956 with the dissertation titled Ellipsoidal Harmonics and Ellipsoidal Wave Functions. He held positions at Aberdeen, Battersea College of Technology (later the University of Surrey), and the University of Reading. By 1972, he had supervised six Ph.D. theses, and published 22 papers. He was a founding Fellow of the Institute of Mathematics and its Applications.
Selected publications
Table of Lamé polynomials, Pergamon Press, 1962 (with I. M. Khabaza)
TWO-PARAMETER EIGENVALUE PROBLEMS IN DIFFERENTIAL EQUATIONS Mathematics Research Center, US Army, Technical Summary Report #350, December 1962
"Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions, Pergamon (1964)
FLOQUET THEORY FOR DOUBLY-PERIODIC DIFFERENTIAL EQUATIONS, F. M. Arscott and G. P. Wright, April 24, 1969
translated O. Boruvka's Linear differential transformations of the second order, English Universities Press (1971)
Introduction to applied mathematics (with Thomas G. Berry)
Remedial mathematics for science and engineering,1983, (with Thomas G. Berry)
Some Analytical Techniques for the Computation of Recessive Solutions on Linear Differential Equations 1987, University of Dundee Numerical Analysis Reports
Heun's Differential Equations, Oxford University Press, 1995. (contributor)
References
20th-century British mathematicians
1996 deaths
1922 births
Alumni of University of London Worldwide
People from the Royal Borough of Greenwich
Royal Air Force personnel of World War II
Royal Air Force officers
British expatriates in Uganda |
https://en.wikipedia.org/wiki/Kriszti%C3%A1n%20Palkovics | Krisztian Palkovics (born July 10, 1975 in Székesfehérvár, Hungary) is a retired Hungarian professional ice hockey right-winger.
Career statistics
References
1975 births
Fehérvár AV19 players
Hungarian ice hockey players
Living people |
https://en.wikipedia.org/wiki/Imre%20Peterdi | Imre Peterdi (born 31 May 1980) is a Hungarian former professional ice hockey player.
Peterdi played in the 2009 IIHF World Championship for the Hungary national team.
Career statistics
Austrian Hockey League
References
External links
1980 births
Fehérvár AV19 players
Dunaújvárosi Acélbikák players
Ferencvárosi TC (ice hockey) players
Hungarian ice hockey players
Living people
Naprzód Janów players
Sportspeople from Dunaújváros
Újpesti TE (ice hockey) players |
https://en.wikipedia.org/wiki/List%20of%20dualities | –
Mathematics
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A.
Alexander duality
Alvis–Curtis duality
Artin–Verdier duality
Beta-dual space
Coherent duality
De Groot dual
Dual abelian variety
Dual basis in a field extension
Dual bundle
Dual curve
Dual (category theory)
Dual graph
Dual group
Dual object
Dual pair
Dual polygon
Dual polyhedron
Dual problem
Dual representation
Dual q-Hahn polynomials
Dual q-Krawtchouk polynomials
Dual space
Dual topology
Dual wavelet
Duality (optimization)
Duality (order theory)
Duality of stereotype spaces
Duality (projective geometry)
Duality theory for distributive lattices
Dualizing complex
Dualizing sheaf
Eckmann–Hilton duality
Esakia duality
Fenchel's duality theorem
Hodge dual
Jónsson–Tarski duality
Lagrange duality
Langlands dual
Lefschetz duality
Local Tate duality
Opposite category
Poincaré duality
Twisted Poincaré duality
Poitou–Tate duality
Pontryagin duality
S-duality (homotopy theory)
Schur–Weyl duality
Series-parallel duality
Serre duality
Spanier–Whitehead duality
Stone's duality
Tannaka–Krein duality
Verdier duality
Grothendieck local duality
Philosophy and religion
Dualism (philosophy of mind)
Epistemological dualism
Dualistic cosmology
Soul dualism
Yin and yang
Engineering
Duality (electrical circuits)
Duality (mechanical engineering)
Observability/Controllability in control theory
Physics
Complementarity (physics)
Dual resonance model
Duality (electricity and magnetism)
Englert–Greenberger duality relation
Holographic duality
Kramers–Wannier duality
Mirror symmetry
3D mirror symmetry
Montonen–Olive duality
Mysterious duality (M-theory)
Seiberg duality
String duality
S-duality
T-duality
U-duality
Wave–particle duality
Economics and finance
Convex duality
See also
Mechanical–electrical analogies
References
Mathematics-related lists
Physics-related lists |
https://en.wikipedia.org/wiki/Bence%20Svasznek | Bence Svasznek (born July 25, 1975) is a Hungarian former professional ice hockey player.
Svasznek represented Hungary in the 2009 IIHF World Championship.
Career statistics
Austrian Hockey League
References
External links
1975 births
Fehérvár AV19 players
DVTK Jegesmedvék players
Ferencvárosi TC (ice hockey) players
HC Nové Zámky players
Hungarian ice hockey defencemen
Living people
Ice hockey people from Budapest
Újpesti TE (ice hockey) players
Hungarian expatriate sportspeople in Slovakia
Hungarian expatriate ice hockey people
Expatriate ice hockey players in Slovakia |
https://en.wikipedia.org/wiki/Artyom%20Vaszjunyin | Artyom Vaszjunyin (born January 26, 1984) is a Ukrainian-Hungarian former professional ice hockey player.
Career statistics
Austrian Hockey League
References
External links
1984 births
Fehérvár AV19 players
Dunaújvárosi Acélbikák players
Ferencvárosi TC (ice hockey) players
Ukrainian ice hockey right wingers
Hungarian ice hockey players
Living people
Ice hockey people from Kyiv |
https://en.wikipedia.org/wiki/Luka%20%C5%BDagar | Luka Zagar (born June 25, 1978, in Ljubljana, Slovenia) is a Slovenian professional ice hockey player.
Career statistics
Austrian Hockey League
References
1978 births
Slovenian ice hockey left wingers
Living people
Ice hockey people from Ljubljana
HDD Olimpija Ljubljana players
HK Acroni Jesenice players
KHL Medveščak Zagreb players
HK Slavija Ljubljana players
Slovenian expatriate ice hockey people
Slovenian expatriate sportspeople in Croatia
Expatriate ice hockey players in Croatia |
https://en.wikipedia.org/wiki/Art%C5%ABras%20Katulis | Artūras Katulis (born August 5, 1981) is a Lithuanian professional ice hockey player.
Career statistics
References
External links
1981 births
Dizel Penza players
HC Berkut-Kyiv players
HK Liepājas Metalurgs players
HK Neman Grodno players
Lithuanian ice hockey defencemen
Living people
Neftyanik Almetyevsk players
People from Elektrėnai
SaiPa players
SønderjyskE Ishockey players
Expatriate ice hockey players in Ukraine
Lithuanian expatriate sportspeople in Ukraine |
https://en.wikipedia.org/wiki/2011%E2%80%9312%20Alemannia%20Aachen%20season | The 2011–12 season of Alemannia Aachen began on 16 July 2011 with the first game in the 2. Bundesliga.
Transfers
Summer transfers
In:
Out:
Winter transfers
In:
Out:
Statistics
Goals and appearances
|-
|colspan="14"|Players sold or loaned out after the start of the season:
|}
Last updated: 6 May 2012
Results
2. Bundesliga
League table
DFB-Pokal
References
2011–12
German football clubs 2011–12 season |
https://en.wikipedia.org/wiki/Sieved%20Jacobi%20polynomials | In mathematics, sieved Jacobi polynomials are a family of sieved orthogonal polynomials, introduced by . Their recurrence relations are a modified (or "sieved") version of the recurrence relations for Jacobi polynomials.
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/Harish-Chandra%20theorem | In mathematics, Harish-Chandra theorem may refer to one of several theorems due to Harish-Chandra, including:
Harish-Chandra's theorem on the Harish-Chandra isomorphism
Harish-Chandra's classification of discrete series representations
Harish-Chandra's regularity theorem |
https://en.wikipedia.org/wiki/Sieved%20Pollaczek%20polynomials | In mathematics, sieved Pollaczek polynomials are a family of sieved orthogonal polynomials, introduced by . Their recurrence relations are a modified (or "sieved") version of the recurrence relations for Pollaczek polynomials.
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/Mike%20Develin | Michael Lee Develin (born August 27, 1980) is an American mathematician known for his work in combinatorics and discrete geometry.
Early life
Mike Develin was born in Hobart, Tasmania. He moved to the United States with his Korean mother, living in New York City. He attended Stuyvesant High School, where he was captain of the math team, and entered Harvard University at the age of 16. At 22, he received his PhD from UC Berkeley, doing his dissertation on Topics in Discrete Geometry. He was awarded the 2003 American Institute of Mathematics five-year fellowship.
Mathematics
Develin is a 2-time Putnam fellow in 1997 and 1998. He studied under advisor Bernd Sturmfels at UC-Berkeley, and has been noted for work on Stanley's reciprocity theorem and tight spans. His 2004 paper, "Tropical Convexity", with Sturmfels, is regarded as one of the seminal papers of tropical geometry, garnering over 300 citations to date.
Facebook
Develin worked on data science for Facebook and Instagram from 2011 to 2018.
On January 23, 2014, Develin published a satirical note on behalf of Facebook's data science team, predicting the demise of Princeton University, in response to a research paper by Princeton PhD candidates predicting the demise of Facebook.
Bridge
Develin started playing competitive bridge in 2005.
Wins
Manfield Non-Life Master Pairs 2005
Grand National Teams Flight B 2007
South American Junior Championships 2007
Red Ribbon Pairs 2008
0-10,000 Fast Pairs 2022
Runner-up
North American Pairs Flight C 2006
Mini-Spingold II 2007
Personal life
Develin was naturalized as an American citizen in 2010.
Develin organized and maintains SimBase, a simulated baseball league with fictitious players, whose inaugural members also included Jeopardy! champion Joon Pahk.
Develin occasionally set up a "free advice" table near the San Francisco Ferry Building.
He currently resides in Kirkland, Washington.
References
External links
Mike's "Free Advice" tabling homepage
1980 births
American contract bridge players
20th-century American mathematicians
21st-century American mathematicians
Harvard University alumni
Living people
Stuyvesant High School alumni
University of California, Berkeley alumni
Mathematicians from New York (state)
Australian emigrants to the United States
Putnam Fellows |
https://en.wikipedia.org/wiki/Extensions%20of%20Fisher%27s%20method | In statistics, extensions of Fisher's method are a group of approaches that allow approximately valid statistical inferences to be made when the assumptions required for the direct application of Fisher's method are not valid. Fisher's method is a way of combining the information in the p-values from different statistical tests so as to form a single overall test: this method requires that the individual test statistics (or, more immediately, their resulting p-values) should be statistically independent.
Dependent statistics
A principal limitation of Fisher's method is its exclusive design to combine independent p-values, which renders it an unreliable technique to combine dependent p-values. To overcome this limitation, a number of methods were developed to extend its utility.
Known covariance
Brown's method
Fisher's method showed that the log-sum of k independent p-values follow a χ2-distribution with 2k degrees of freedom:
In the case that these p-values are not independent, Brown proposed the idea of approximating X using a scaled χ2-distribution, cχ2(k’), with k’ degrees of freedom.
The mean and variance of this scaled χ2 variable are:
where and . This approximation is shown to be accurate up to two moments.
Unknown covariance
Harmonic mean p-value
The harmonic mean p-value offers an alternative to Fisher's method for combining p-values when the dependency structure is unknown but the tests cannot be assumed to be independent.
Kost's method: t approximation
This method requires the test statistics' covariance structure to be known up to a scalar multiplicative constant.
Cauchy combination test
This is conceptually similar to Fisher's method: it computes a sum of transformed p-values. Unlike Fisher's method, which uses a log transformation to obtain a test statistic which has a chi-squared distribution under the null, the Cauchy combination test uses a tan transformation to obtain a test statistic whose tail is asymptotic to that of a Cauchy distribution under the null. The test statistic is:
where are non-negative weights, subject to . Under the null, are uniformly distributed, therefore are Cauchy distributed. Under some mild assumptions, but allowing for arbitrary dependency between the , the tail of the distribution of X is asymptotic to that of a Cauchy distribution. More precisely, letting W denote a standard Cauchy random variable:
This leads to a combined hypothesis test, in which X is compared to the quantiles of the Cauchy distribution.
References
Multiple comparisons |
https://en.wikipedia.org/wiki/Adolph%20Jensen | Adolph Ludvig Otto Jensen (15 July 1866 – 24 May 1948) was an economist and statistician of international standing, and from 1913 to 1936 the head of the Statistics Department of the Danish Ministry of Finance.
Career
Jensen studied Politics at Århus University, 1885–1892, under Harald Westergaard. From 1896 to 1936, he worked at the Department of Statistics of the Danish Ministry of Finance, becoming head of the department in 1913. He took an active part in international research into statistics, as well as statistical research into economic and social issues.
Publications
The chapter on "The Scandinavian Nations" in volume 4 of A History of Banking in all the Leading Nations (1896; reprinted 1971).
"The History and Development of Statistics in Denmark", in The History of Statistics, collected and edited by John Koren (Published for the American Statistical Association by the Macmillan Company of New York, 1918), pp. 201–214.
"Report on the Representative Method in Statistics", Bulletin de l'Institut International de Statistique 22 (1925), 359-380
"Purposive Selection", Journal of the Royal Statistical Society 91:4 (1928), 541-547.
"Horoscope of the Population of Denmark", Bulletin de l'Institut International de Statistique, 25 (1931), 41-49.
"Migration Statistics of Denmark, Norway and Sweden", in International Migrations, Volume II: Interpretations, ed. Walter F. Willcox, National Bureau of Economic Research, 1931.
Befolkningsspørgsmaalet i Danmark, 1939.
Tallenes Tale, 1941.
References
1866 births
1948 deaths
Danish statisticians
Danish civil servants |
https://en.wikipedia.org/wiki/ASC%20O%C8%9Belul%20Gala%C8%9Bi%20in%20European%20football | ASC Oțelul Galați is a professional football club which currently plays in Liga II.
Total statistics
Statistics by country
Statistics by competition
Notes for the abbreviations in the tables below:
1R: First round
2R: Second round
3R: Third round
1QR: First qualifying round
2QR: Second qualifying round
UEFA Champions League
UEFA Europa League / UEFA Cup
UEFA Intertoto Cup
Top scorers
External links
Official website
UEFA website
European cups archive
Otelul Galati
ASC Oțelul Galați |
https://en.wikipedia.org/wiki/Nemenyi%20test | In statistics, the Nemenyi test is a post-hoc test intended to find the groups of data that differ after a global statistical test (such as the Friedman test) has rejected the null hypothesis that the performance of the comparisons on the groups of data is similar. The test makes pair-wise tests of performance.
The test is named after Peter Nemenyi.
The test is sometimes referred to as the "Nemenyi–Damico–Wolfe test", when regarding one-sided multiple comparisons of "treatments" versus "control", but it can also be referred to as the "Wilcoxon–Nemenyi–McDonald–Thompson test", when regarding two-sided multiple comparisons of "treatments" versus "treatments".
See also
Tukey's range test
References
Statistical tests
Nonparametric statistics |
https://en.wikipedia.org/wiki/Geronimus%20polynomials | In mathematics, Geronimus polynomials may refer to one of the several different families of orthogonal polynomials studied by Yakov Lazarevich Geronimus.
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/Stieltjes%20polynomials | In mathematics, the Stieltjes polynomials En are polynomials associated to a family of orthogonal polynomials Pn. They are unrelated to the Stieltjes polynomial solutions of differential equations. Stieltjes originally considered the case where the orthogonal polynomials Pn are the Legendre polynomials.
The Gauss–Kronrod quadrature formula uses the zeros of Stieltjes polynomials.
Definition
If P0, P1, form a sequence of orthogonal polynomials for some inner product, then the Stieltjes polynomial En is a degree n polynomial orthogonal to Pn–1(x)xk for k = 0, 1, ..., n – 1.
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/David%20Trim | David J.B. Trim is a historian, archivist, and educator whose specialties are in European military history and religious history. Currently, he is the director of Archives, Statistics, and Research at the World Headquarters of Seventh-day Adventists.
Background
Trim was born in Bombay, India, in 1969 to British and Australian parents and raised largely in Sydney, Australia. He was educated in Britain: he graduated cum laude from Newbold College with a BA in History; his PhD in War Studies and History is from King's College, London, part of the University of London.
Career
Trim taught for ten years at Newbold College and for two years held the Walter C. Utt Chair in History at Pacific Union College. In late 2010 he was appointed Archivist of the Seventh-day Adventist Church and in 2011 became its global Director of Research. He has held research fellowships at the Huntington Library and the Folger Shakespeare Library, and been a visiting scholar at the University of California at Berkeley and the University of Reading in the United Kingdom. Trim has been a Fellow of the Royal Historical Society since 2003.
Scholarship
Trim is the editor or co-editor of thirteen volumes, including: The Chivalric Ethos and the Development of Military Professionalism (Brill, 2003), Amphibious Warfare 1000-1700: Commerce, State Formation and European Expansion (Brill, 2006), European Warfare 1350-1750 (Cambridge University Press, 2010), Pluralism, Parochialism and Contextualization: Challenges to Adventist Mission in Europe 1864-2004 (Peter Lang, 2010), and Humanitarian Intervention: A History (Cambridge University Press, 2011). Humanitarian Intervention: A History was widely reviewed not only in academic journals but also in the mainstream press, including in India.
Bibliography
Walter Utt: Adventist historian. Silver Spring, MD: Office of Archives, Statistics, and Research, 2023.
Hearts of faith: How we became Seventh-day Adventists. Nampa, ID: Pacific Press, 2022.
Co-editor, with A.L. Chism and M.F. Younker, Adventist Mission in China in Historical Perspective, General Conference Archives Monographs, 2. Silver Spring, MD: Office of Archives, Statistics, and Research, 2022.
We aim at nothing less than the whole world’: The Seventh-day Adventist Church’s missionary enterprise and the General Conference Secretariat, 1863–2019. Silver Spring, MD: Office of Archives, Statistics, and Research, 2021.
A Passion for Mission: The Trans-European Division after Ninety Years. Bracknell, UK: Newbold Academic Press, 2019.
A Living Sacrifice: Unsung Heroes of Adventist Missions. Pacific Press, 2019.
Co-editor, with Yvonne M. Terry-McElrath, Curis J. VanderWaal, and Alina J. Baltazar, Promoting the public good: Policy in the public square and the Church. Cooranbong, NSW, Australia: Avondale Academic Press, 2018.
Co-editor, with Benjamin J. Baker, Fundamental Belief 6: Creation. Silver Spring, MD: Office of Archives, Statistics, and Research, 2014.
Editor, The Hugueno |
https://en.wikipedia.org/wiki/1928%E2%80%9329%20French%20Amateur%20Football%20Championship | Statistics of the French Amateur Football Championship in the 1928–29 season.
Excellence Division
Final
Olympique de Marseille 3 - Club Français 2
Honour Division
Won by US Cazérienne.
References
RSSF
French Amateur Football Championship
France
1928–29 in French football |
https://en.wikipedia.org/wiki/1927%E2%80%9328%20French%20Amateur%20Football%20Championship | Statistics of the French Amateur Football Championship in the 1927-28 season.
Excellence Division
Overview
Stade Français won the championship.
Quarterfinals
SO Montpellier 3-2 Stade Havrais
Semifinals
Stade Français 6-2 SO Montpellier
Honour Division
FC Mulhouse won the championship.
References
RSSF
French Amateur Football Championship
France
1927–28 in French football |
https://en.wikipedia.org/wiki/1926%E2%80%9327%20French%20Amateur%20Football%20Championship | Statistics of the French Amateur Football Championship in the 1926-27 season. The Championship was the main competition for the amateur football clubs from 1926 to 1929. There were 3 divisions: Excellence, Honor and Promotion.
Excellence Division
CA Paris 4 2 2 0 6
Amiens AC 4 2 1 1 5
Olympique de Marseille 4 1 2 1 4
SC de la Bastidienne (Bordeaux) 4 1 1 2 8-12 3
FC Rouennais 4 0 2 2 2
Honour Division
AS Valentigney 3 2 1 0 10- 4 5
RC Strasbourg 3 2 0 1 11- 7 4
CA Messin 3 2 0 1 9- 8 4
SC Reims 3 1 1 1 3- 6 3
CO Saint-Chamond 4 0 0 4 7-15 0
References
RSSF
French Amateur Football Championship
France
1926–27 in French football |
https://en.wikipedia.org/wiki/1919%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1919 season.
1/8 Final
Alliance vélo sport d'Auxerre 5–0 Racing club bourguignon Dijon
Olympique de Marseille 16–0 SPMSA Romans
RC Paris 2–1 SS Romilly
Club Sportif et Malouin Servannais 4–0 Club sportif d'Alençon
Club Olympique Choletais 1–1 AS limousine Poitiers
Stade Bordelais UC 6–0 Stadoceste tarbais
Le Havre AC 2–0 Stade vélo club Abbeville
Club Sportif des Terreaux – CAS Montluçon (Montluçon forfeited)
Quarterfinals
Club sportif des Terreaux 3–1 Alliance vélo sport d'Auxerre
Olympique de Marseille 2–1 Stade Bordelais UC
Le Havre AC 1–0 RC Paris
Club Sportif et Malouin Servannais – Club Olympique Choletais (Cholet forfeited)
Semifinals
Olympique de Marseille 1–1 Club sportif des Terreaux
Le Havre AC 4–0 Club Sportif et Malouin Servannais
Final
Le Havre AC 4–1 Olympique de Marseille
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1914%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1914 season.
Tournament
First round
Racing Club de Reims 7-0 La fraternelle d'Ailly
FC Lyon 6-2 US Annemasse
Football club de Braux 4-2 Cercle des Sports Stade Lorrain
SM Caen 6-1 US Le Mans
Sporting Club angérien - ASNG Tarbes (Tarbes forfeited)
Red Star Association de Besançon - AS Michelin (Clermont forfeited)
Second round
AS Montbéliard 5-4 Red Star Association de Besançon
Third round
Racing Club de Reims 6-0 Football club de Braux
FC Lyon 5-0 AS Montbéliard
Stade quimpérois - SM Caen (Quimper forfeited)
1/8 Final
Stade Bordelais UC 3-1 Stade toulousain
FC Lyon 3-2 SH Marseille
Union sportive Servannaise 3-3 SM Caen
FC Rouen 4-3 Racing Club de Reims
Olympique de Cette - Sporting Club angérien (Saint-Jean forfeited)
Quarterfinals
Olympique de Cette 2-1 Stade Bordelais UC
. Union sportive Servannaise 1-0 AS Française
. FC Rouen 0-1 Olympique Lillois
Stade Raphaëlois 3-1 FC Lyon
Semifinals
. Olympique de Cette 3-1 Stade Raphaëlois
Olympique Lillois 8-1 Union sportive Servannaise
Final
Olympique Lillois 3-0 Olympique Cettois
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1913%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1913 season.
Tournament
First round
Stade Bordelais UC - Stade limousin (forfeit)
Lyon OU 5-1 Football Club de Grenoble
Football club de Braux 2-0 Cercle Sportif de Remiremont
AS Trouville-Deauville 3-1 US Le Mans
1/8 Final
Stade toulousain 1-4 Stade Bordelais UC
Lyon OU 1-5 Stade Raphaëlois
Union sportive Servannaise 4-0 CASG Orléans
Amiens SC 0-1 FC Rouen
Olympique Lillois 2-0 Football club de Braux
SH Marseille 15-0 Stade issoirien
CASG Paris 1-0 AS Trouville-Deauville
Olympique de Cette - Angers Université Club (forfeit)
Quarterfinals
CASG Paris 3-1 Union sportive Servannaise
Olympique de Cette 6-1 Stade Bordelais UC
FC Rouen 2-1 Olympique Lillois
SH Marseille 4-1 Stade Raphaëlois
Semifinals
SH Marseille 2-1 Olympique de Cette
FC Rouen 8-1 CASG Paris
Final
SH Marseille 1-0 FC Rouen
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1912%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1912 season.
Tournament
First round
CASG Orléans 4-1 Le Mans UC
Union sportive Servannaise 5-0 Angers Université Club
Sporting Club Dauphinois 1-3 FC Lyon
US Tourcoing 5-0 Football club de Braux
Société nautique de Bayonne 0-4 Stade Bordelais UC
Cercle des Sports Stade Lorrain 4-3 Racing Club de Reims
Huitièmes de finale
Stade Raphaëlois 2-2 SH Marseille (match replayed)
Stade Raphaëlois 2-1 SH Marseille
Olympique de Cette 3-2 Stade toulousain
SM Caen 1-2 AS Française
FC Rouen 2-1 Amiens SC
US Tourcoing 5-1 Cercle des Sports Stade Lorrain
Union sportive Servannaise 13-0 CASG Orléans
Stade Bordelais UC 10-0 Sporting Club angérien
FC Lyon 9-1 Racing Club Franc-Comtois de Besançon
Quarterfinals
AS Française 3-1 Union sportive Servannaise
US Tourcoing 3-2 FC Rouen
Olympique de Cette 3-2 Stade Bordelais UC
Stade Raphaëlois 4-1 FC Lyon
Semifinals
Stade Raphaëlois 2-0 US Tourcoing
AS Française 6-1 Olympique de Cette
Final
Stade Raphaëlois 2-1 AS Française
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1911%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1911 season.
Tournament
First round
Racing Club Franc-Comtois de Besançon 0-3 FC International Lyon
Racing Club de Reims 5-0 Cercle des Sports Stade Lorrain
Angers Université Club 12-0 Union sportive de Tours
Amiens SC 1-6 FC Rouen
1/8 Final
RC France 3-1 AS Trouville-Deauville
Olympique Lillois 8-1 Football club de Braux
Olympique de Cette 3-1 Stade toulousain
SH Marseille 9-0 Stade Raphaëlois
FC International Lyon 2-1 Sporting Club Dauphinois
.Union sportive Servannaise 0-2 Angers Université Club
FC Rouen 2-1 Racing Club de Reims
Sport athlétique bordelais 6-0 Sporting Club angérien
Quarterfinals
FC Rouen 4-1 Olympique Lillois
RC France 1-0 Union sportive Servannaise
Olympique de Cette 3-0 Sport athlétique bordelais
FC International Lyon 0-2 SH Marseille
Semifinals
Olympique de Cette 0-4 SH Marseille
FC Rouen 1-2 RC France
Final
SH Marseille 3-2 RC France
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1910%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1910 season.
Tournament
First round
Cercle des Sports Stade Lorrain 1-1 Racing Club de Reims (match replayed)
Cercle des Sports Stade Lorrain 2-1 Racing Club de Reims
Amiens SC 5-0 FC Rouen
US Le Mans 4-1 Union sportive de Tours
FC Rouen 6-1 Amiens SC
1/8 Finals
US Tourcoing 5-0 Football club de Braux
Stade Bordelais UC 3-1 Stade nantais université club
Olympique de Cette 3-1 Stade toulousain
SH Marseille 11-0 AS Cannes
Lyon Olympique 4-1 Racing Club Franc-Comtois de Besançon
Stade français 3-0 SM Caen
Union sportive Servannaise 7-1 US Le Mans
Amiens SC 8-1 Cercle des Sports Stade Lorrain
Quarterfinals
Stade Bordelais UC 3-1 Olympique de Cette
Union sportive Servannaise 2-0 Stade français
US Tourcoing 5-0 Amiens SC
SH Marseille 5-0 Lyon Olympique
Semifinals
US Tourcoing 3-0 Union sportive Servannaise
SH Marseille 4-1 Stade Bordelais UC
Final
US Tourcoing 7-2 SH Marseille
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1908%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1908 season.
Tournament
First round
FC Lyon 3-1 Stade Grenoblois
Racing Club Angevin - Stade Nantais Université Club
Second round
SC Nîmes 2-5 Olympique de Marseille
Stade Raphaëlois 2-1 FC Lyon
Stade Bordelais UC 2-4 Stade Olympien Vélo Club de Toulouse
Amiens SC 2-0 Racing Club de Reims
Third round
Cercle des Sports Stade Lorrain 3-2 Amiens SC
Stade Olympien Véto Sport Toulousain 18-0 SVA Jarnac
Olympique de Marseille 4-0 Stade Raphaëlois
Stade rennais - Racing Club Angevin (Angers forfeited)
Quarterfinals
Olympique de Marseille 3-0 Stade Olympien Vélo Club de Toulouse
RC France 1-3 Cercle des Sports Stade Lorrain
RC Roubaix 4-2 Union Athlétique du Lycée Malherbe
Le Havre Sports 2-1 Stade rennais
Semifinals
Olympique de Marseille 1-2 RC France
RC Roubaix 4-0 Le Havre Sports
Final
RC Roubaix 2-1 RC France
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1907%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1907 season.
Tournament
First round
Burdigala Bordeaux - US Cognaçaise
Olympique de Cette 0-5 Stade Olympique des Étudiants Toulousains
CPN Châlons 5-0 Groupe Sportif Nancéien
Olympique de Marseille 9-1 Sporting Club de Draguignan
Second round
CPN Châlons 1-0 Sporting Club Abbeville
Stade Olympique des Étudiants Toulousains 7-1 Burdigala Bordeaux
Olympique de Marseille 8-1 Lyon Olympique
Quarterfinals
RC Roubaix 7-0 CPN Châlons
Le Havre AC - US Le Mans (Le Mans forfeited)
RC France 5-0 Union sportive Servannaise
Olympique de Marseille 1-0 Stade Olympique des Étudiants Toulousains
Semifinals
RC France 3-1Olympique de Marseille
RC Roubaix 1-1 Le Havre AC (match replayed)
RC Roubaix 7-1 Le Havre AC
Finale
RC France 3-2 RC Roubaix
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1906%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1906 season.
Tournament
First round
Stade Universitaire Caennais - US Le Mans (Le Mans forfeited)
US Cognaçaise - Stade Bordelais UC
Second round
Stade Rémois 3-1 Stade Lorrain
Stade Bordelais UC 1-5 Stade Olympique des Étudiants Toulousains
Stade Universitaire Caennais 2-1 Stade rennais
Lyon Olympique 2-2 Olympique de Marseille
Olympique de Marseille - Lyon Olympique
Amiens AC - Stade ardennais (Sedan forfeited)
Quarterfinals
Stade Rémois 4-1 Amiens AC
RC Roubaix 6-2 Le Havre AC
Stade Olympique des Étudiants Toulousains 4-1 Olympique de Marseille
Stade Universitaire Caennais 0-8 CA Paris
Semifinals
Stade Olympique des Étudiants Toulousains 1-2 CA Paris
RC Roubaix 7-0 Stade Rémois
Final
RC Roubaix 4-1 CA Paris
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1905%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1905 season.
Tournament
First round
FC Nice 3-5 Olympique de Marseille
Second round
Olympique de Marseille - FC Lyon
Stade Olympien des Étudiants Toulousains - Stade bordelais (Stade bordelais forfeited)
Union sportive Servannaise 4-1 Association Sportive de Trouville-Deauville
Sport Athlétique Sézannais - Cercle Sportif du Stade Lorrain (CSSL forfeited)
Quarterfinals
Gallia Club Paris 3-1 Union sportive Servannaise
Le Havre AC 1-2 RC Roubaix
Stade Olympique des Étudiants Toulousains 5-0 Olympique de Marseille
Amiens AC - Sport Athlétique Sézannais (Sezanne forfeited)
Semifinals
Stade Olympique des Étudiants Toulousains 0-5 Gallia Club Paris
RC Roubaix 5-1 Amiens AC
Final
Gallia Club Paris 1-0 RC Roubaix
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1904%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1904 season.
Tournament
First round
Amiens AC - RC Roubaix
Quarts de finale
United Sports Club 8-0 Sport Athlétique Sézannais
RC Roubaix - Club Sportif Havrais (Havre forfeited)
Olympique de Marseille 2-2 Burdigala Bordeaux (match replayed)
Stade rennais 1-0 Association Sportive des Étudiants de Caen
Olympique de Marseille 2-0 Burdigalia Bordeaux
Semifinals
RC Roubaix 12-1 Stade rennais
United Sports Club 4-0 Olympique de Marseille
Final
RC Roubaix 4-2 United Sports Club
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1903%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1903 season.
Tournament
First round
Stade Bordelais UC - Olympique de Marseille
Quarterfinals
Le Havre AC 3-0 Sport Athlétique Sézannais
RC France 5-0 Stade Bordelais UC
Union Athlétique du Lycée Malherbe 4-1 Football Club Rennais
RC Roubaix - Amiens AC (Amiens forfeited)
Semifinals
RC France 5-1 Union Athlétique du Lycée Malherbe
RC Roubaix - Le Havre AC (Havre forfeited)
Final
RC France 2-2 RC Roubaix (match replayed)
RC Roubaix 3-1 RC France
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1901%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1901 season.
Tournament
Semifinals
Le Havre AC 6-1 Iris Club Lillois
Final
Standard AC 1-1 Le Havre AC (match replayed)
Standard AC 6-1 Le Havre AC
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/1900%20USFSA%20Football%20Championship | Statistics of the USFSA Football Championship in the 1900 season.
Tournament
Semifinals
Le Havre AC 4-0 US Tourcoing
Final
Le Havre AC 1-0 Club Français
References
RSSF
USFSA Football Championship
1
France |
https://en.wikipedia.org/wiki/Jock%20Edward | John Edward was a Scottish professional football half-back who played for Aberdeen and Southampton.
Career statistics
References
External links
AFC Heritage profile
Men's association football midfielders
Aberdeen F.C. players
Southampton F.C. players
Scottish Football League players
Scottish men's footballers
1901 births
1961 deaths |
https://en.wikipedia.org/wiki/HR3D | HR3D is a multiscopic 3D display technology developed at the MIT Media Lab.
Technology
The technology uses double-layered LCD panels.
Mathematics
"HR" stands for "high-rank", and refers to algebraic rank; the related paper describes how light fields can be represented with low rank.
External links
http://web.media.mit.edu/~mhirsch/hr3d/
https://web.archive.org/web/20110814193452/http://cameraculture.media.mit.edu/hr3d/faq.html
3D imaging |
https://en.wikipedia.org/wiki/Excavated%20dodecahedron | In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron.
Description
All 20 vertices and 30 of its 60 edges belong to its dodecahedral hull. The 30 other internal edges are longer and belong to a great stellated dodecahedron. (Each contains one of the 30 edges of the icosahedral core.) There are 20 faces corresponding to the 20 vertices. Each face is a self-intersecting hexagon with alternating long and short edges and 60° angles. The equilateral triangles touching a short edge are part of the face. (The smaller one between the long edges is a face of the icosahedral core.)
Faceting of the dodecahedron
It has the same external form as a certain facetting of the dodecahedron having 20 self-intersecting hexagons as faces. The non-convex hexagon face can be broken up into four equilateral triangles, three of which are the same size. A true excavated dodecahedron has the three congruent equilateral triangles as true faces of the polyhedron, while the interior equilateral triangle is not present.
The 20 vertices of the convex hull match the vertex arrangement of the dodecahedron.
The faceting is a noble polyhedron. With six six-sided faces around each vertex, it is topologically equivalent to a quotient space of the hyperbolic order-6 hexagonal tiling, {6,6} and is an abstract type {6,6}6. It is one of ten abstract regular polyhedra of index two with vertices on one orbit.
Related polyhedra
References
H.S.M. Coxeter, Regular Polytopes, (3rd edition, 1973), Dover edition, , 3.6 6.2 Stellating the Platonic solids, pp.96-104
Polyhedral stellation |
https://en.wikipedia.org/wiki/Levente%20Jova | Levente Jova (born 30 January 1992) is a Hungarian football player. He plays for Vasas SC in the Hungarian NB I.
He played his first league match in 2011.
Club statistics
Updated to games played as of 6 July 2017.
Honours
Ferencváros
Hungarian League Cup (1): 2012–13
References
External links
FTC Official Site Profile
1992 births
Living people
People from Orosháza
Hungarian men's footballers
Hungary men's youth international footballers
Hungary men's under-21 international footballers
Men's association football goalkeepers
Békéscsaba 1912 Előre footballers
MTK Budapest FC players
Ferencvárosi TC footballers
Soroksár SC players
Nyíregyháza Spartacus FC players
Vasas SC players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Footballers from Békés County
21st-century Hungarian people |
https://en.wikipedia.org/wiki/Mathematics%3A%20The%20Loss%20of%20Certainty | Mathematics: The Loss of Certainty is a book by Morris Kline on the developing perspectives within mathematical cultures throughout the centuries.
This book traces the history of how new results in mathematics have provided surprises to mathematicians through the ages. Examples include how 19th century mathematicians were surprised by the discovery of non-Euclidean geometry and how Godel's incompleteness theorem disappointed many logicians.
Kline furthermore discusses the close relation of some of the most prominent mathematicians such as Newton and Leibniz to God. He believes that Newton's religious interests were the true motivation of his mathematical and scientific work. He quotes Newton from a letter to Reverend Richard Bentley of December 10, 1692:When I wrote my treatise about our system The Mathematical Principles of Natural Philosophy, I had an eye on such principles as might work with considering men for the belief in a Deity; and nothing can rejoice me more than to find it useful for that purpose.He also believes Leibniz regarded science as a religious mission which scientists were duty bound to undertake. Kline quotes Leibniz from an undated letter of 1699 or 1700:It seems to me that the principal goal of the whole of mankind must be the knowledge and development of the wonders of God, and that this is the reason that God gave him the empire of the globe.Kline also argues that the attempt to establish a universally acceptable, logically sound body of mathematics has failed. He believes that most mathematicians today do not work on applications. Instead they continue to produce new results in pure mathematics at an ever-increasing pace.
Criticism
In the reviews of this book, a number of specialists, paying tribute to the author's outlook, accuse him of biased emotionality, dishonesty and incompetence.
In particular, Raymond G. Ayoub in The American Mathematical Monthly writes:
For centuries, Euclidean geometry seemed to be a good model of space. The results were and still are used effectively in astronomy and in navigation. When it was subjected to the close scrutiny of formalism, it was found to have weaknesses and it is interesting to observe that, this time, it was the close scrutiny of the formalism that led to the discovery (some would say invention) of non-Euclidean geometry. (It was several years later that a satisfactory Euclidean model was devised.)
This writer fails to see why this discovery was, in the words of Kline, a "debacle". Is it not, on the contrary, a great triumph?...
Professor Kline does not deal honestly with his readers. He is a learned man and knows perfectly well that many mathematical ideas created in abstracto have found significant application in the real world. He chooses to ignore this fact, acknowledged by even the most fanatic opponents of mathematics. He does this to support an untenable dogma. One is reminded of the story of the court jester to Louis XIV: the latter had written a poem and asked |
https://en.wikipedia.org/wiki/Centered%20set | In mathematics, in the area of order theory, an upwards centered set S is a subset of a partially ordered set, P, such that any finite subset of S has an upper bound in P. Similarly, any finite subset of a downwards centered set has a lower bound. An upwards centered set can also be called a consistent set.
Any directed set is necessarily centered, and any centered set is a linked set.
A subset B of a partial order is said to be σ-centered if it is a countable union of centered sets.
References
.
Order theory |
https://en.wikipedia.org/wiki/Linked%20set | In mathematics, an upwards linked set A is a subset of a partially ordered set, P, in which any two of elements A have a common upper bound in P. Similarly, every pair of elements of a downwards linked set has a lower bound. Every centered set is linked, which includes, in particular, every directed set.
References
Order theory |
https://en.wikipedia.org/wiki/Knaster%27s%20condition | In mathematics, a partially ordered set P is said to have Knaster's condition upwards (sometimes property (K)) if any uncountable subset A of P has an upwards-linked uncountable subset. An analogous definition applies to Knaster's condition downwards.
The property is named after Polish mathematician Bronisław Knaster.
Knaster's condition implies the countable chain condition (ccc), and it is sometimes used in conjunction with a weaker form of Martin's axiom, where the ccc requirement is replaced with Knaster's condition. Not unlike ccc, Knaster's condition is also sometimes used as a property of a topological space, in which case it means that the topology (as in, the family of all open sets) with inclusion satisfies the condition.
Furthermore, assuming MA(), ccc implies Knaster's condition, making the two equivalent.
References
Order theory |
https://en.wikipedia.org/wiki/Bloch%20group | In mathematics, the Bloch group is a cohomology group of the Bloch–Suslin complex, named after Spencer Bloch and Andrei Suslin. It is closely related to polylogarithm, hyperbolic geometry and algebraic K-theory.
Bloch–Wigner function
The dilogarithm function is the function defined by the power series
It can be extended by analytic continuation, where the path of integration avoids the cut from 1 to +∞
The Bloch–Wigner function is related to dilogarithm function by
, if
This function enjoys several remarkable properties, e.g.
is real analytic on
The last equation is a variant of Abel's functional equation for the dilogarithm .
Definition
Let K be a field and define as the free abelian group generated by symbols [x]. Abel's functional equation implies that D2 vanishes on the subgroup D(K) of Z(K) generated by elements
Denote by A (K) the quotient of by the subgroup D(K). The Bloch-Suslin complex is defined as the following cochain complex, concentrated in degrees one and two
, where ,
then the Bloch group was defined by Bloch
The Bloch–Suslin complex can be extended to be an exact sequence
This assertion is due to the Matsumoto theorem on K2 for fields.
Relations between K3 and the Bloch group
If c denotes the element and the field is infinite, Suslin proved the element c does not depend on the choice of x, and
where GM(K) is the subgroup of GL(K), consisting of monomial matrices, and BGM(K)+ is the Quillen's plus-construction. Moreover, let K3M denote the Milnor's K-group, then there exists an exact sequence
where K3(K)ind = coker(K3M(K) → K3(K)) and Tor(K*, K*)~ is the unique nontrivial extension of Tor(K*, K*) by means of Z/2.
Relations to hyperbolic geometry in three-dimensions
The Bloch-Wigner function , which is defined on , has the following meaning: Let be 3-dimensional hyperbolic space and its half space model. One can regard elements of as points at infinity on . A tetrahedron, all of whose vertices are at infinity, is called an ideal tetrahedron. We denote such a tetrahedron by and its (signed) volume by where are the vertices. Then under the appropriate metric up to constants we can obtain its cross-ratio:
In particular, . Due to the five terms relation of , the volume of the boundary of non-degenerate ideal tetrahedron equals 0 if and only if
In addition, given a hyperbolic manifold , one can decompose
where the are ideal tetrahedra. whose all vertices are at infinity on . Here the are certain complex numbers with . Each ideal tetrahedron is isometric to one with its vertices at for some with . Here is the cross-ratio of the vertices of the tetrahedron. Thus the volume of the tetrahedron depends only one single parameter . showed that for ideal tetrahedron , where is the Bloch-Wigner dilogarithm. For general hyperbolic 3-manifold one obtains
by gluing them. The Mostow rigidity theorem guarantees only single value of the volume with for all .
Generalizations
Via substituti |
https://en.wikipedia.org/wiki/Jos%C3%A9%20F.%20Cordero | Dr. José F. Cordero is a pediatrician, epidemiologist, teratologist, Head of the Department of Epidemiology and Biostatistics at the University of Georgia's College of Public Health, and former Dean of the Graduate School of Public Health at the University of Puerto Rico. Cordero was an Assistant Surgeon General of the United States Public Health Service and the founding director of the National Center on Birth Defects and Developmental Disabilities (NCBDDD) at the Centers for Disease Control and Prevention (CDC) in Atlanta, Georgia. In 2017, Cordero was awarded the Sedgwick Memorial Medal from the American Public Health Association.
Early life and education
Cordero was born in Camuy, Puerto Rico, where he received his primary and secondary education. After graduating from high school he enrolled in the University of Puerto Rico School of Medicine. In 1973 he earned his medical degree, then completed his internship in 1974 and his residency in 1975 at the Boston City Hospital in Boston, Massachusetts. In 1977, Cordero completed a fellowship in medical genetics at the Massachusetts General Hospital. In 1979, Cordero obtained a Masters from the Harvard School of Public Health.
Career
In November 2020, Cordero was named a volunteer member of the Joe Biden presidential transition Agency Review Team to support transition efforts related to the Department of Health and Human Services and the U.S. Consumer Product Safety Commission.
Centers for Disease Control and Prevention
After earning his master's degree, Cordero joined the Centers for Disease Control and Prevention (CDC) as an Epidemic Intelligence Service (EIS) officer. He spent 15 years working with the Birth Defects Branch on children's health and disability issues.
Together with CDC, Cordero initiated a multi-state collaborative study to identify factors that may put children at risk for autism spectrum disorders (ASDs) and other developmental disabilities. Cordero was quoted as saying
In 1994, Cordero was appointed deputy director of the National Immunization Program, where he made important and long-lasting contributions to one of the nation's most successful public health programs. The Children's Health Act of 2000 created the National Center on Birth Defects and Developmental Disabilities (NCBDDD) in Atlanta, Georgia and, in 2001, Cordero was both a founding member and its first director. NCBDDD is a leading international institution devoted to research and prevention of birth defects and developmental disabilities, and the promotion of health amongst people of all ages who are living with disabilities.
Cordero, who worked for 27 years at the CDC and served as an Assistant Surgeon General of the Public Health Service, is the current Director of the Department of Epidemiology and Biostatistics at the University of Georgia's College of Public Health, and former Dean of the Graduate School of Public Health at the University of Puerto Rico. His work has been published in many national a |
https://en.wikipedia.org/wiki/Sudhakara%20Dvivedi | Sudhakara Dvivedi (1855–1910) was an Indian scholar in Sanskrit and mathematics.
Biography
Sudhakara Dvivedi was born in 1855 in Khajuri, a village near Varanasi. In childhood he studied mathematics under Pandit Devakrsna.
In 1883 he was appointed a librarian in the Government Sanskrit College, Varanasi where in 1898
he was appointed the teacher of mathematics and astrology after Bapudeva Sastri retired in 1889.
He was the head of mathematics department in Queen's college Benaras from where he retired in 1905 and mathematician Ganesh Prasad became the new head of department. Dvivedi wrote a number of translations, commentaries and treatises, including one on algebra which included topics such as Pellian equations, squares, and Diophantine equations.
Works in Sanskrit
Chalan Kalan
Deergha Vritta Lakshan ("Characteristics of Ellipse")
Goleeya Rekha Ganit ("Sphere Line Mathematics")
Samikaran Meemansa ("Analysis of Equations")
Yajusha Jyauti-sham and Archa Jyauti-sham
Ganakatarangini (1892)
Euclid's Elements 6th, 11th and 12th parts
Lilavati (1879)
Bijaganita (1889)
Pañcasiddhāntikā of Varāhamihira (1889): Co-edited with George Thibaut
Surya Siddhanta
Brahmagupta’s Brāhmasphuṭasiddhānta, 1902, ()
Aryabhata II's Maha-Siddhanta (1910)
Works in Hindi
Differential Calculus (1886)
Integral Calculus (1895)
Theory of equations (1897)
A History of Hindu mathematics I (1910)
References
External links
Yajusha Jyauti-sham
19th-century Indian mathematicians
Scholars from Varanasi
1855 births
1910 deaths
Hindu astronomy
Sanskrit scholars from Uttar Pradesh
Historians of mathematics
20th-century Indian mathematicians
Mathematicians from British India |
https://en.wikipedia.org/wiki/Cho%20Bum-hyun | Cho Bum-hyun (born October 1, 1960) is the former manager of the KT Wiz, and a former catcher in the Korea Baseball Organization.
References
External links
Career statistics and player information from Korea Baseball Organization
Asian Games baseball managers
Kia Tigers managers
Kia Tigers coaches
Samsung Lions coaches
Doosan Bears players
Samsung Lions players
SSG Landers managers
KT Wiz managers
KBO League catchers
South Korean baseball managers
South Korean baseball coaches
South Korean baseball players
Korea University alumni
1960 births
Living people
South Korea national baseball team managers |
https://en.wikipedia.org/wiki/Shalev | Shalev may refer to:
People
Given name
Shalev Menashe (born 1982), Israeli footballer
Surname
Aner Shalev (born 1958), Israeli mathematics professor
Avner Shalev (born 1939), Israeli chairman of the Yad Vashem Directorate
Chemi Shalev (born 1953), Israeli journalist and political analyst
Gabriela Shalev (born 1941), Israeli jurist and Israeli ambassador to the United Nations
Meir Shalev (1948–2023), Israeli writer
Sarah Marom-Shalev (born 1934), Israeli politician
Varda Shalev (born 1959), Israeli academic and physician
Zeruya Shalev (born 1959), Israeli author
Hebrew-language surnames
Hebrew-language given names |
https://en.wikipedia.org/wiki/Mixed%20volume | In mathematics, more specifically, in convex geometry, the mixed volume is a way to associate a non-negative number to a tuple of convex bodies in . This number depends on the size and shape of the bodies, and their relative orientation to each other.
Definition
Let be convex bodies in and consider the function
where stands for the -dimensional volume, and its argument is the Minkowski sum of the scaled convex bodies . One can show that is a homogeneous polynomial of degree , so can be written as
where the functions are symmetric. For a particular index function , the coefficient is called the mixed volume of .
Properties
The mixed volume is uniquely determined by the following three properties:
;
is symmetric in its arguments;
is multilinear: for .
The mixed volume is non-negative and monotonically increasing in each variable: for .
The Alexandrov–Fenchel inequality, discovered by Aleksandr Danilovich Aleksandrov and Werner Fenchel:
Numerous geometric inequalities, such as the Brunn–Minkowski inequality for convex bodies and Minkowski's first inequality, are special cases of the Alexandrov–Fenchel inequality.
Quermassintegrals
Let be a convex body and let be the Euclidean ball of unit radius. The mixed volume
is called the j-th quermassintegral of .
The definition of mixed volume yields the Steiner formula (named after Jakob Steiner):
Intrinsic volumes
The j-th intrinsic volume of is a different normalization of the quermassintegral, defined by
or in other words
where is the volume of the -dimensional unit ball.
Hadwiger's characterization theorem
Hadwiger's theorem asserts that every valuation on convex bodies in that is continuous and invariant under rigid motions of is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes).
Notes
External links
Convex geometry
Integral geometry |
https://en.wikipedia.org/wiki/PRESS%20statistic | In statistics, the predicted residual error sum of squares (PRESS) is a form of cross-validation used in regression analysis to provide a summary measure of the fit of a model to a sample of observations that were not themselves used to estimate the model. It is calculated as the sums of squares of the prediction residuals for those observations.
A fitted model having been produced, each observation in turn is removed and the model is refitted using the remaining observations. The out-of-sample predicted value is calculated for the omitted observation in each case, and the PRESS statistic is calculated as the sum of the squares of all the resulting prediction errors:
Given this procedure, the PRESS statistic can be calculated for a number of candidate model structures for the same dataset, with the lowest values of PRESS indicating the best structures. Models that are over-parameterised (over-fitted) would tend to give small residuals for observations included in the model-fitting but large residuals for observations that are excluded.
PRESS statistic has been extensively used in Lazy Learning and locally linear learning to speed-up the assessment and the selection of the neighbourhood size.
See also
Model selection
References
Regression diagnostics
Model selection |
https://en.wikipedia.org/wiki/Category%20O | In the representation theory of semisimple Lie algebras, Category O (or category ) is a category whose objects are certain representations of a semisimple Lie algebra and morphisms are homomorphisms of representations.
Introduction
Assume that is a (usually complex) semisimple Lie algebra with a Cartan subalgebra
, is a root system and is a system of positive roots. Denote by
the root space corresponding to a root and a nilpotent subalgebra.
If is a -module and , then is the weight space
Definition of category O
The objects of category are -modules such that
is finitely generated
is locally -finite. That is, for each , the -module generated by is finite-dimensional.
Morphisms of this category are the -homomorphisms of these modules.
Basic properties
Each module in a category O has finite-dimensional weight spaces.
Each module in category O is a Noetherian module.
O is an abelian category
O has enough projectives and injectives.
O is closed under taking submodules, quotients and finite direct sums.
Objects in O are -finite, i.e. if is an object and , then the subspace generated by under the action of the center of the universal enveloping algebra, is finite-dimensional.
Examples
All finite-dimensional -modules and their -homomorphisms are in category O.
Verma modules and generalized Verma modules and their -homomorphisms are in category O.
See also
Highest-weight module
Universal enveloping algebra
Highest-weight category
References
Representation theory of Lie algebras |
https://en.wikipedia.org/wiki/Radha%20Charan%20Gupta | Radha Charan Gupta (born 1935 in GursaraiJhansi, in present-day Uttar Pradesh) is an Indian historian of mathematics.
Early life of Radha Charan Gupta
Gupta graduated from the University of Lucknow, where he made his bachelor's degree in 1955 and his master's degree in 1957. He earned his Ph.D. in the history of mathematics from Ranchi University in 1971. He did his dissertation work at Ranchi University with the historian of Indian mathematics T.A. Sarasvati Amma. Then he served as a lecturer at Lucknow Christian College (from 1957 to 1958) and in 1958 he joined Birla Institute of Technology, Mesra. In 1982 he was awarded a full professorship. He retired in 1995 as the Emeritus Professor of the history of mathematics and logic. He became a corresponding member of the International Academy of the History of Science in February 1995.
Works
In 1969 Gupta addressed interpolation in Indian mathematics. He wrote on Govindasvamin and his interpolation of sine tables. Furthermore, he contributed an article on the work of Paramesvara: "Paramesvara's rule for the circumradius of a cyclic quadrilateral".
Notable awards
In 1991 he was elected a Fellow of the National Academy of Sciences, India, and in 1994 he became President of the Association of Mathematics Teachers of India. In 1979 he founded the magazine Ganita Bharati.
In 2009 he was awarded the Kenneth O. May Prize alongside the British mathematician Ivor Grattan-Guinness. He is notably the first Indian to get this prize.
In 2023, he was awarded the Padma Shri by the Government of India for his contributions in the field of literature and education.
References
20th-century Indian mathematicians
Scholars from Uttar Pradesh
1935 births
20th-century Indian historians
Historians of mathematics
Living people
Ranchi University alumni
People from Jhansi
Scientists from Uttar Pradesh
Recipients of the Padma Shri in literature & education |
https://en.wikipedia.org/wiki/Yves%20Diba%20Ilunga | Yves Diba Ilunga (born 12 August 1987) is a Congolese former professional footballer who played as a forward for DR Congo national team.
Career statistics
Scores and results list DR Congo's goal tally first.
References
1987 births
Living people
Sportspeople from Lubumbashi
Democratic Republic of the Congo men's footballers
Democratic Republic of the Congo men's international footballers
Men's association football forwards
2013 Africa Cup of Nations players
Saudi First Division League players
UAE First Division League players
Saudi Pro League players
Qatar Stars League players
FC Saint-Éloi Lupopo players
AS Vita Club players
Najran SC players
Al Raed FC players
Al-Sailiya SC players
Al Kharaitiyat SC players
Ajman Club players
Al-Shoulla FC players
Democratic Republic of the Congo expatriate men's footballers
Democratic Republic of the Congo expatriate sportspeople in Saudi Arabia
Expatriate men's footballers in Saudi Arabia
Democratic Republic of the Congo expatriate sportspeople in Qatar
Expatriate men's footballers in Qatar
Democratic Republic of the Congo expatriate sportspeople in the United Arab Emirates
Expatriate men's footballers in the United Arab Emirates |
https://en.wikipedia.org/wiki/Bogdan%20Rusu | Bogdan Gheorghe Rusu (born 9 April 1990) is a Romanian professional footballer who plays as a striker for Liga II club Argeș Pitești.
Career statistics
Club
Honours
Hermannstadt
Cupa României runner-up: 2017–18
References
External links
1990 births
Living people
Footballers from Brașov
Romanian men's footballers
Men's association football forwards
Liga I players
Liga II players
Liga III players
FC Astra Giurgiu players
CS Aerostar Bacău players
FCV Farul Constanța players
AFC Dacia Unirea Brăila players
FC Brașov (1936) players
ACS Foresta Suceava players
FC Hermannstadt players
FC Petrolul Ploiești players
FC Dunărea Călărași players
CS Mioveni players
FC Steaua București players
FC Argeș Pitești players |
https://en.wikipedia.org/wiki/1930%E2%80%9331%20Real%20Sociedad%20season | The 1930–31 season was Real Sociedad's third season in La Liga.
This article shows player statistics and all matches that the club played during the 1930–31 season.
Players
Player stats
League
League matches
League position
Cup
External links
Real Sociedad Squad
All fixtures listed
References
Real Sociedad seasons
Spanish football clubs 1930–31 season |
https://en.wikipedia.org/wiki/Ottawa%20Renegades%20all-time%20records%20and%20statistics | The Ottawa Renegades played in the CFL for 4 seasons, between 2002 and 2006. They were the second Canadian Football League team to make Ottawa their home, following the Ottawa Rough Riders and preceding the Ottawa Redblacks.
Scoring
Most points – Career
277 – Lawrence Tynes
208 - Josh Ranek
Most Points – Season
198 – Lawrence Tynes – 2003
115 - Matt Kellett - 2005
Most Touchdowns – Career
33 – Josh Ranek
19 - Kerry Joseph
Most Touchdowns – Season
11 – Josh Ranek – 2003
Passing
Most Passing Yards – Career
10,962 – Kerry Joseph
3,177 – Dan Crowley
Most Passing Yards – Season
4466 – Kerry Joseph - 2005
3698 – Kerry Joseph - 2003
2762 – Kerry Joseph - 2004
2697 – Dan Crowley - 2002
Most Passing Yards – Game
436 - Kerry Joseph - 2004
Most Passing Touchdowns – Career
57 – Kerry Joseph
18 – Dan Crowley
Most Passing Touchdowns – Season
25 – Kerry Joseph - 2005
19 – Kerry Joseph - 2003
16 – Dan Crowley - 2002
Most Passing Touchdowns – Game
3 - Dan Crowley - 2002
3 – Kerry Joseph - 2005
3 – Kerry Joseph - 2004
Rushing
Most Rushing Yards – Career
4,028 – Josh Ranek
2,004 – Kerry Joseph
545 - Darren Davis
Most Rushing Yards – Season (all 1000 yard rushers included)
1157 – Josh Ranek – 2005
1122 – Josh Ranek – 2003
1060 - Josh Ranek - 2004
1006 – Kerry Joseph - 2005
Most Rushing Yards – Game
164 - Josh Ranek - 2005
Receiving
Most Receiving Yards – Career
2,252 – Josh Ranek
2,114 - Yo Murphy
1,915 - Jason Armstead
1,253 - Demetrius Bendross
1,004 - Jimmy Oliver
1,000 - D.J. Flick
994 - Denis Montana
860 – Pat Woodcock
Most Receiving Yards – Season
1307 - Jason Armstead - 2005
1090 - Yo Murphy - 2004
1004 – Jimmy Oliver – 2002
Most Receiving Yards – Game
184 - Yo Murphy - 2004
173 - Jason Armstead - 2005
Most Receptions – Career
225 – Josh Ranek
137 - Yo Murphy
130 - Jason Armstead
88 - Demetrius Bendross
82 - Jimmy Oliver
74 - Denis Montana
64 - D.J. Flick
64 – Pat Woodcock
Most Receptions – Season
89 - Jason Armstead - 2005
82 - Jimmy Oliver - 2002
76 – Josh Ranek - 2005
61 - Yo Murphy - 2004
60 - D.J. Flick - 2003
Most Receptions – Game
11 - Josh Ranek - 2005
Interceptions
Most Interceptions – Career
10 – Korey Banks
6 - Crance Clemons
5 - Gerald Vaughn
5 - Kyries Hebert
4 - Alfonso Roundtree
4 - John Grace
4 - Serge Sejour
Most Interceptions – Season
10 – Korey Banks – 2005
4 - Alfonso Roundtree - 2002
Most Interceptions – Game
3 - Kyries Hebert - 2005
Quarterback sacks
Most Sacks – Career
17 - Jerome Haywood
Most Sacks – Season
12 – Anthony Collier – 2005
8 – Derrick Ford – 2002
7 – Keaton Cromartie – 2003
7 – Fred Perry – 2003
Most Sacks – Game
5 – Anthony Collier – 2005
Defensive tackles
Most defensive tackles – Career
241 - Kelly Wiltshire
Most defensive tackles – Season
86 - Kelly Wiltshire - 2002
79 - Kelly Wiltshire - 2003
76 - Kelly Wiltshire - 2004
74 - John Grace - 2003
69 - Donovan Carter - 2002
66 - John Grace - 2002
66 - Kyries Hebert - 2005
62 - Gerald Vaughn - 2002
62 - Donovan Carter - 2003
Special t |
https://en.wikipedia.org/wiki/Divisibility%20%28ring%20theory%29 | In mathematics, the notion of a divisor originally arose within the context of arithmetic of whole numbers. With the development of abstract rings, of which the integers are the archetype, the original notion of divisor found a natural extension.
Divisibility is a useful concept for the analysis of the structure of commutative rings because of its relationship with the ideal structure of such rings.
Definition
Let R be a ring, and let a and b be elements of R. If there exists an element x in R with , one says that a is a left divisor of b and that b is a right multiple of a. Similarly, if there exists an element y in R with , one says that a is a right divisor of b and that b is a left multiple of a. One says that a is a two-sided divisor of b if it is both a left divisor and a right divisor of b; the x and y above are not required to be equal.
When R is commutative, the notions of left divisor, right divisor, and two-sided divisor coincide, so one says simply that a is a divisor of b, or that b is a multiple of a, and one writes . Elements a and b of an integral domain are associates if both and . The associate relationship is an equivalence relation on R, so it divides R into disjoint equivalence classes.
Note: Although these definitions make sense in any magma, they are used primarily when this magma is the multiplicative monoid of a ring.
Properties
Statements about divisibility in a commutative ring can be translated into statements about principal ideals. For instance,
One has if and only if .
Elements a and b are associates if and only if .
An element u is a unit if and only if u is a divisor of every element of R.
An element u is a unit if and only if .
If for some unit u, then a and b are associates. If R is an integral domain, then the converse is true.
Let R be an integral domain. If the elements in R are totally ordered by divisibility, then R is called a valuation ring.
In the above, denotes the principal ideal of generated by the element .
Zero as a divisor, and zero divisors
If one interprets the definition of divisor literally, every a is a divisor of 0, since one can take . Because of this, it is traditional to abuse terminology by making an exception for zero divisors: one calls an element a in a commutative ring a zero divisor if there exists a nonzero x such that .
Some texts apply the term 'zero divisor' to a nonzero element x where the multiplier a is additionally required to be nonzero where x solves the expression , but such a definition is both more complicated and lacks some of the above properties.
See also
Divisor – divisibility in integers
– divisibility in polynomials
Zero divisor
GCD domain
Notes
Citations
References
Ring theory |
https://en.wikipedia.org/wiki/CFL%20USA%20all-time%20records%20and%20statistics | This list combines the statistics and records of the seven CFL American teams from 1993 to 1995: Baltimore Stallions, Birmingham Barracudas, Las Vegas Posse, Memphis Mad Dogs, Sacramento Gold Miners, San Antonio Texans, and the Shreveport Pirates. Though no city lasted more than 2 years in the CFL, they combined for 10 seasons of team statistics, including several record breaking performances.
Scoring
Most points – CFL USA Career
406 – Roman Anderson (1994–95)
385 – Carlos Huerta (1994–95)
Most Points – Season
235 – Roman Anderson – San Antonio – 1995
228 – Carlos Huerta – Baltimore – 1995
184 – Donald Igwebuike – Baltimore - 1994
171 – Roman Anderson – Sacramento – 1994
157 – Carlos Huerta – Las Vegas – 1993
156 – Jim Crouch – Sacramento – 1993
144 – Luis Zendejas – Birmingham – 1995
Most Points – Game
30 – Martin Patton – Shreveport versus Winnipeg, August 5, 1995
Most Touchdowns – CFL USA Career
34 – Mike Pringle
Most Touchdowns – Season
18 – Chris Armstrong – Baltimore - 1994
Most Touchdowns – Game
5 – Martin Patton – Shreveport versus Winnipeg, August 5, 1995
Passing
Most Passing Yards – CFL USA Career
13,834 – David Archer (1993–95)
7705 – Tracy Ham (1994–95)
Most Passing Yards – Season
6023 – David Archer – Sacramento – 1993
4911 – Matt Dunigan – Birmingham – 1995
4471 – David Archer – San Antonio – 1995
4348 – Tracy Ham – Baltimore – 1994
3767 – Billy Joe Tolliver – Shreveport - 1995
3357 – Tracy Ham – Baltimore – 1994
3340 – David Archer – Sacramento - 1994
3211 – Damon Allen – Memphis - 1995
2582 – Anthony Calvillo – Las Vegas – 1994
1812 – Kerwin Bell – Sacramento - 1994
1259 – Mike Johnson – Shreveport – 1994
1222 – Len Williams – Las Vegas – 1994
1193 – Rickey Foggie – Memphis - 1995
1046 – Terrence Jones – Shreveport - 1994
Most Passing Yards – Game
551 - Anthony Calvillo – Las Vegas versus Ottawa, Sept. 3, 1994
Most Passing Touchdowns – CFL USA Career
86 – David Archer (1993–95)
51 – Tracy Ham (1994–95)
34 – Matt Dunigan (1995)
Most Passing Touchdowns – Season
35 – David Archer – Sacramento - 1993
34 – Matt Dunigan – Birmingham - 1995
30 – Tracy Ham – Baltimore – 1994
30 – David Archer – San Antonio – 1995
Most Passing Touchdowns – Game
???
Rushing
Most Rushing Yards – CFL USA Career
4,131 – Mike Pringle (1994–95)
Most Rushing Yards – Season (all 1000 yard rushers included)
1972 – Mike Pringle – Baltimore - 1994
1791 – Mike Pringle – Baltimore – 1995
1230 – Troy Mills – Sacramento – 1994
1040 – Martin Patton – Shreveport -1995
1030 – Mike Saunders – San Antonio - 1995
Most Rushing Yards – Game
232 – Mike Pringle – Baltimore versus Shreveport, Sep. 3, 1994
230 – Troy Mills – Sacramento versus Ottawa, Oct. 24, 1994
Receiving
Most Receiving Yards – CFL USA Career
2,697 – Chris Armstrong (1994–95)
2,677 – Rod Harris (1993–94)
Most Receiving Yards – CFL USA Season
1586 – Chris Armstrong – Baltimore – 1994
1559 – Marcus Grant – Birmingham – 1995
1415 – Joe Horn – Memphis – 1995
1397 - Rod Harris – Sacramento |
https://en.wikipedia.org/wiki/El%20Arbi%20Hababi | El Arbi Hababi (born 12 August 1967) is a Moroccan former footballer who played at international level, competing at the 1994 FIFA World Cup.
Career statistics
International goals
References
1967 births
Living people
Moroccan men's footballers
Morocco men's international footballers
1994 FIFA World Cup players
People from Khouribga
Olympique Club de Khouribga players
Botola players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Boole%20polynomials | In mathematics, the Boole polynomials sn(x) are polynomials given by the generating function
, .
See also
Umbral calculus
Peters polynomials, a generalization of Boole polynomials.
References
Boole, G. (1860/1970), Calculus of finite differences.
Reprinted by Dover, 2005
Polynomials |
https://en.wikipedia.org/wiki/1948%E2%80%9349%20Galatasaray%20S.K.%20season | The 1948–49 season was Galatasaray SK's 45th in existence and the club's 37th consecutive season in the Istanbul Football League.
Squad statistics
Competitions
Istanbul Football League
Classification
Results summary
Results by round
Matches
Kick-off listed in local time (EEST)
References
1948-1949 İstanbul Futbol Ligi. Türk Futbol Tarihi vol.1. page(56). (June 1992) Türkiye Futbol Federasyonu Yayınları.
External links
Galatasaray Sports Club Official Website
Turkish Football Federation - Galatasaray A.Ş.
uefa.com - Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1948–49 season
1940s in Istanbul |
https://en.wikipedia.org/wiki/Narumi%20polynomials | In mathematics, the Narumi polynomials sn(x) are polynomials introduced by given by the generating function
,
See also
Umbral calculus
References
Reprinted by Dover, 2005
Polynomials |
https://en.wikipedia.org/wiki/Pidduck%20polynomials | In mathematics, the Pidduck polynomials sn(x) are polynomials introduced by given by the generating function
,
See also
Umbral calculus
References
Reprinted by Dover Publications, 2005
Polynomials |
https://en.wikipedia.org/wiki/Energy%20in%20Hungary | Energy in Hungary describes energy and electricity production, consumption and import in Hungary. Energy policy of Hungary describes the politics of Hungary related to energy.
Statistics
Nuclear power
Hungary had, in 2017, four operating nuclear power reactors, constructed between 1982 and 1987, at the Paks Nuclear Power Plant.
An agreement in 2014 with the EU and an agreement between Hungary and Rosatom may result in an additional two reactors being built for operation in 2030. The cost, estimated at €12.5bn, being funded mainly by Russia.
Oil
Hungary is reliant on oil from Russia for 46% of its needs in 2021, a decrease from 80% in 2013.
An EU exemption to sanctions, following the Russian invasion of Ukraine in 2022 allows Hungary to continue importing oil from Russia until December 2023.
MOL Group is an oil and gas group in Hungary.
Gas
Emfesz is a natural gas distributor in Hungary. Panrusgáz imports natural gas from Russia mainly Gazprom.
The Arad–Szeged pipeline is a natural gas pipeline from Arad (Romania) to Szeged (Hungary).
Nabucco and South Stream gas pipelines were intended to reach Hungary and further to other European countries. The Nabucco gas pipeline was expected to pipe 31bn cubic metres of gas annually in a 3,300 km long pipeline constructed via Hungary, Turkey, Romania, Bulgaria and Austria. The South Stream gas pipeline was expected to pipe 63bn cu m of gas from southern Russia to Bulgaria under the Black Sea. The pipe was planned to run via Hungary to central and southern Europe. These two were abandoned early in their design phases by a mix of disinterest, changing priorities and changes in geopolitical conditions in the larger Black Sea basin.
Hungary in 2022 is reliant on Russia for 80% of its natural gas and seeks to continue buying from Gazprom. In October 2023 Bulgaria passed a law taxing Russian gas in transit to Hungary at 20 levs (10.22 euro) per MWh, roughly 20% of the purchase price of gas, the cost is probably payable by Gazprom. Hungary has complained about the tax.
Coal
The last coal electricity producer, the Matra Power Plant produced around 9% of the electricity needs of Hungary in 2020. It is served by two coal mines in Visonta, and in Bükkábrány. The current generator is to shut down in 2025 to be replaced by a CCGT unit.
Renewable energy
Hungary is a member of the European Union and thus takes part in the EU strategy to increase its share of the renewable energy. The EU has adopted the 2009 Renewable Energy Directive, which included a 20% renewable energy target by 2020 for the EU. By 2030 wind should produce in average 26-35% of the EU's electricity and save Europe €56 billion a year in avoided fuel costs.
The national authors of Hungary forecast is 14.7% renewables in gross energy consumption by 2020, exceeding their 13% binding target by 1.7 percentage points. Hungary is the EU country with the smallest forecast penetration of renewables of the electricity demand in 2020, namely only 1 |
https://en.wikipedia.org/wiki/Peters%20polynomials | In mathematics, the Peters polynomials sn(x) are polynomials studied by given by the generating function
, . They are a generalization of the Boole polynomials.
See also
Umbral calculus
References
Reprinted by Dover, 2005
Polynomials |
https://en.wikipedia.org/wiki/Angelescu%20polynomials | In mathematics, the Angelescu polynomials πn(x) are a series of polynomials generalizing the Laguerre polynomials introduced by . The polynomials can be given by the generating function
They can also be defined by the equation
where is an Appell set of polynomials (see ).
Properties
Addition and recurrence relations
The Angelescu polynomials satisfy the following addition theorem:
where is a generalized Laguerre polynomial.
A particularly notable special case of this is when , in which case the formula simplifies to
The polynomials also satisfy the recurrence relation
which simplifies when to . () This can be generalized to the following:
a special case of which is the formula .
Integrals
The Angelescu polynomials satisfy the following integral formulae:
(Here, is a Laguerre polynomial.)
Further generalization
We can define a q-analog of the Angelescu polynomials as , where and are the q-exponential functions and , is the q-derivative, and is a "q-Appell set" (satisfying the property ).
This q-analog can also be given as a generating function as well:
where we employ the notation and .
References
Polynomials |
https://en.wikipedia.org/wiki/Denisyuk%20polynomials | In mathematics, Denisyuk polynomials Den(x) or Mn(x) are generalizations of the Laguerre polynomials introduced by given by the generating function
Notes
References
Polynomials |
https://en.wikipedia.org/wiki/List%20of%20Gold%20Coast%20Suns%20coaches | The following is a list of the Gold Coast Football Club senior coaches in each of their seasons in the Australian Football League.
AFL
Statistics current to the end of round 23, 2023.
VFL
Notes
Key
References
Gold Coast Coaches Win/Loss Records
Gold Coast Suns
Gold Coast Suns
Gold Coast, Queensland-related lists |
https://en.wikipedia.org/wiki/Hochschild%E2%80%93Mostow%20group | In mathematics, the Hochschild–Mostow group, introduced by , is the universal pro-affine algebraic group generated by a group.
References
Algebraic groups |
https://en.wikipedia.org/wiki/Prabodh%20Chandra%20Sengupta | Prabodh Chandra Sengupta (21 June 1876–1962) was a historian of ancient Indian astronomy. He was a Professor of Mathematics at Bethune College in Calcutta and a lecturer in Indian Astronomy and Mathematics at the University of Calcutta.
Early life
Prabodh Chandra Sengupta, the younger son of Ram Chandra Sengupta, was born in a village near Tangail in Mymensingh district (now in Bangladesh) on 21 June 1876. He had his early education in the Santosh Jahnavi H. E. School and passed the Entrance (Matric) examination with sufficient merit to obtain a scholarship.
Major works
Ancient Indian chronology (1947)
Khandakhadyaka: an astronomical treatise of Brahmagupta
Āryabhaṭīya by Āryabhaṭa I
Āryabhaṭa I, the father of Indian epicyclic astronomy
Surya Siddhanta: a textbook of Hindu astronomy (along with Ebenezer Burgess, Phanindralal Gangooly)
Greek and Hindu methods in spherical astronomy (1931)
References
External links
Full text of "Ancient Indian Chronology"
19th-century Indian astronomers
1876 births
Scholars from Kolkata
1962 deaths
Historians of mathematics
19th-century Indian mathematicians
20th-century Indian mathematicians
Bengali scientists
Scientists from Kolkata
Writers from Kolkata
Indian social sciences writers
20th-century Indian historians
20th-century Indian astronomers
19th-century Indian historians |
https://en.wikipedia.org/wiki/Actuarial%20polynomials | In mathematics, the actuarial polynomials a(x) are polynomials studied by given by the generating function
, .
See also
Umbral calculus
References
Reprinted by Dover, 2005
Further reading
Polynomials |
https://en.wikipedia.org/wiki/Ull%C3%A0 | Ullà is a village in the province of Girona and autonomous community of Catalonia, Spain.
Population
Catalonia according to statistics more than 39% of the population is of North African origin and Ecuador.
References
External links
Government data pages
Municipalities in Baix Empordà
Populated places in Baix Empordà |
https://en.wikipedia.org/wiki/Humbert%20polynomials | In mathematics, the Humbert polynomials π(x) are a generalization of Pincherle polynomials introduced by given by the generating function
.
See also
Umbral calculus
References
Polynomials |
https://en.wikipedia.org/wiki/Pincherle%20polynomials | In mathematics, the Pincherle polynomials Pn(x) are polynomials introduced by given by the generating function
Humbert polynomials are a generalization of Pincherle polynomials
References
Polynomials |
https://en.wikipedia.org/wiki/Zsolt%20Bal%C3%A1zs | Zsolt Balázs (born 11 August 1988) is a Hungarian striker who plays for Budaörs.
Early life
His maternal grandfather was László Aradszky singer.
Career statistics
.
External links
Player info
HLSZ
kesport
1988 births
Living people
Sportspeople from Zalaegerszeg
Footballers from Zala County
Hungarian men's footballers
Men's association football forwards
Zalaegerszegi TE players
Kecskeméti TE players
Paksi FC players
Budapest Honvéd FC players
BFC Siófok players
NK Nafta Lendava players
Kaposvári Rákóczi FC players
Budaörsi SC footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Slovenian Second League players
Hungarian expatriate men's footballers
Expatriate men's footballers in Slovenia
Hungarian expatriate sportspeople in Slovenia |
https://en.wikipedia.org/wiki/Rainville%20polynomials | In mathematics, the Rainville polynomials pn(z) are polynomials introduced by given by the generating function
.
References
Polynomials |
https://en.wikipedia.org/wiki/Pentagonal%20polytope | In geometry, a pentagonal polytope is a regular polytope in n dimensions constructed from the Hn Coxeter group. The family was named by H. S. M. Coxeter, because the two-dimensional pentagonal polytope is a pentagon. It can be named by its Schläfli symbol as {5, 3n − 2} (dodecahedral) or {3n − 2, 5} (icosahedral).
Family members
The family starts as 1-polytopes and ends with n = 5 as infinite tessellations of 4-dimensional hyperbolic space.
There are two types of pentagonal polytopes; they may be termed the dodecahedral and icosahedral types, by their three-dimensional members. The two types are duals of each other.
Dodecahedral
The complete family of dodecahedral pentagonal polytopes are:
Line segment, { }
Pentagon, {5}
Dodecahedron, {5, 3} (12 pentagonal faces)
120-cell, {5, 3, 3} (120 dodecahedral cells)
Order-3 120-cell honeycomb, {5, 3, 3, 3} (tessellates hyperbolic 4-space (∞ 120-cell facets)
The facets of each dodecahedral pentagonal polytope are the dodecahedral pentagonal polytopes of one less dimension. Their vertex figures are the simplices of one less dimension.
Icosahedral
The complete family of icosahedral pentagonal polytopes are:
Line segment, { }
Pentagon, {5}
Icosahedron, {3, 5} (20 triangular faces)
600-cell, {3, 3, 5} (600 tetrahedron cells)
Order-5 5-cell honeycomb, {3, 3, 3, 5} (tessellates hyperbolic 4-space (∞ 5-cell facets)
The facets of each icosahedral pentagonal polytope are the simplices of one less dimension. Their vertex figures are icosahedral pentagonal polytopes of one less dimension.
Related star polytopes and honeycombs
The pentagonal polytopes can be stellated to form new star regular polytopes:
In two dimensions, we obtain the pentagram {5/2},
In three dimensions, this forms the four Kepler–Poinsot polyhedra, {3,5/2}, {5/2,3}, {5,5/2}, and {5/2,5}.
In four dimensions, this forms the ten Schläfli–Hess polychora: {3,5,5/2}, {5/2,5,3}, {5,5/2,5}, {5,3,5/2}, {5/2,3,5}, {5/2,5,5/2}, {5,5/2,3}, {3,5/2,5}, {3,3,5/2}, and {5/2,3,3}.
In four-dimensional hyperbolic space there are four regular star-honeycombs: {5/2,5,3,3}, {3,3,5,5/2}, {3,5,5/2,5}, and {5,5/2,5,3}.
In some cases, the star pentagonal polytopes are themselves counted among the pentagonal polytopes.
Like other polytopes, regular stars can be combined with their duals to form compounds;
In two dimensions, a decagrammic star figure {10/2} is formed,
In three dimensions, we obtain the compound of dodecahedron and icosahedron,
In four dimensions, we obtain the compound of 120-cell and 600-cell.
Star polytopes can also be combined.
Notes
References
Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995,
(Paper 10) H.S.M. Coxeter, Star Polytopes and the Schlafli Function f(α,β,γ) [Elemente der Mathematik 44 (2) (1989) 25–36]
Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Table I(ii): 16 regul |
https://en.wikipedia.org/wiki/Faber%20polynomials | In mathematics, the Faber polynomials Pm of a Laurent series
are the polynomials such that
vanishes at z=0. They were introduced by and studied by and .
References
Polynomials |
https://en.wikipedia.org/wiki/Brazilian%20Mathematical%20Society | The Brazilian Mathematical Society (, SBM) is a professional association founded in 1969 at Instituto de Matemática Pura e Aplicada to promote mathematics education in Brazil.
Presidents
1969–1971 Chaim Samuel Honig
1971–1973 Manfredo do Carmo
1973–1975 Elon Lages Lima
1975–1977 Maurício Peixoto
1977–1979 Djairo Guedes de Figueiredo
1979–1981 Jacob Palis
1981–1983 Imre Simon
1983–1985 Geraldo Severo de Souza Ávila
1985–1987 Aron Simis
1987–1989 César Camacho
1989–1991 Keti Tenenblat
1991–1993 César Camacho
1993–1995 Márcio Gomes Soares
1995–1997 Márcio Gomes Soares
1997–1999 Paulo Domingos Cordaro
1999–2001 Paulo Domingos Cordaro
2001–2003 Suely Druck
2003–2005 Suely Druck
2005–2007 João Lucas Marques Barbosa
2007–2009 João Lucas Marques Barbosa
2009–2011 Hilário Alencar
2011–2013 Hilário Alencar
2013–2015 Marcelo Viana
2015–2017 Hilário Alencar
2017– Paolo Piccione
Awards and prizes
The SBM distributes many prizes, including the Brazilian Mathematical Society Award and the Elon Lages Lima Award.
Publications
Journals:
Bulletin of the Brazilian Mathematical Society
Eureka!
Matemática Contemporânea
Ensaios Matemáticos
Matemática Universitária
Professor de Matemática Online
Revista do Professor de Matemática
See also
Instituto Nacional de Matemática Pura e Aplicada
Brazilian Mathematics Olympiad of Public Schools
External links
SBM - Sociedade Brasileira de Matemática (Official website)
Organizations established in 1969
Mathematical societies
Scientific organisations based in Brazil |
https://en.wikipedia.org/wiki/Alpha%20shape | In computational geometry, an alpha shape, or α-shape, is a family of piecewise linear simple curves in the Euclidean plane associated with the shape of a finite set of points. They were first defined by . The alpha-shape associated with a set of points is a generalization of the concept of the convex hull, i.e. every convex hull is an alpha-shape but not every alpha shape is a convex hull.
Characterization
For each real number α, define the concept of a generalized disk of radius 1/α as follows:
If α = 0, it is a closed half-plane;
If α > 0, it is a closed disk of radius 1/α;
If α < 0, it is the closure of the complement of a disk of radius −1/α.
Then an edge of the alpha-shape is drawn between two members of the finite point set whenever there exists a generalized disk of radius 1/α containing none of the point set and which has the property that the two points lie on its boundary.
If α = 0, then the alpha-shape associated with the finite point set is its ordinary convex hull.
Alpha complex
Alpha shapes are closely related to alpha complexes, subcomplexes of the Delaunay triangulation of the point set.
Each edge or triangle of the Delaunay triangulation may be associated with a characteristic radius, the radius of the smallest empty circle containing the edge or triangle. For each real number α, the α-complex of the given set of points is the simplicial complex formed by the set of edges and triangles whose radii are at most 1/α.
The union of the edges and triangles in the α-complex forms a shape closely resembling the α-shape; however it differs in that it has polygonal edges rather than edges formed from arcs of circles. More specifically, showed that the two shapes are homotopy equivalent. (In this later work, Edelsbrunner used the name "α-shape" to refer to the union of the cells in the α-complex, and instead called the related curvilinear shape an α-body.)
Examples
This technique can be employed to reconstruct a Fermi surface from the electronic Bloch spectral function evaluated at the Fermi level, as obtained from the Green's function in a generalised ab-initio study of the problem. The Fermi surface is then defined as the set of reciprocal space points within the first Brillouin zone, where the signal is highest.
The definition has the advantage of covering also cases of various forms of disorder.
See also
Beta skeleton
References
N. Akkiraju, H. Edelsbrunner, M. Facello, P. Fu, E. P. Mucke, and C. Varela. "Alpha shapes: definition and software". In Proc. Internat. Comput. Geom. Software Workshop 1995, Minneapolis.
.
.
External links
2D Alpha Shapes and 3D Alpha Shapes in CGAL the Computational Geometry Algorithms Library
Alpha Complex in the GUDHI library.
Description and implementation by Duke University
Everything You Always Wanted to Know About Alpha Shapes But Were Afraid to Ask – with illustrations and interactive demonstration
Implementation of the 3D alpha-shape for the reconstruction of 3D sets from |
https://en.wikipedia.org/wiki/2011%20Rugby%20World%20Cup%20statistics | The 2011 Rugby World Cup was held in New Zealand from 9 September to 23 October 2011.
Team statistics
The following table shows the team's results in major statistical categories.
Source: ESPNscrum.com
Try scorers
6 tries
Chris Ashton
Vincent Clerc
5 tries
Adam Ashley-Cooper
Keith Earls
Israel Dagg
4 tries
Mark Cueto
Vereniki Goneva
Zac Guildford
Richard Kahui
Jerome Kaino
Sonny Bill Williams
Scott Williams
3 tries
Berrick Barnes
Drew Mitchell
Ma'a Nonu
Francois Hougaard
François Steyn
Alesana Tuilagi
Jonathan Davies
George North
Shane Williams
2 tries
Lucas González Amorosino
Juan José Imhoff
Anthony Fainga'a
Ben McCalman
David Pocock
Phil Mackenzie
Conor Trainor
Ben Foden
Shontayne Hape
Manu Tuilagi
Ben Youngs
François Trinh-Duc
Tommy Bowe
Tommaso Benvenuti
Sergio Parisse
Giulio Toniolatti
James Arlidge
Heinz Koll
Adam Thomson
Victor Vito
Vladimir Ostroushko
Denis Simplikevich
Kahn Fotuali'i
George Stowers
Simon Danielli
Gio Aplon
Jaque Fourie
Bryan Habana
Juan de Jongh
Danie Rossouw
Morné Steyn
Siale Piutau
Taulupe Faletau
Leigh Halfpenny
Mike Phillips
Jamie Roberts
Lloyd Williams
1 try
Felipe Contepomi
Julio Farías Cabello
Santiago Fernández
Genaro Fessia
Juan Figallo
Agustin Gosio
Juan Manuel Leguizamón
Ben Alexander
Kurtley Beale
Rocky Elsom
Rob Horne
James Horwill
Digby Ioane
Salesi Ma'afu
Pat McCabe
Stephen Moore
James O'Connor
Radike Samo
Aaron Carpenter
Ander Monro
Jebb Sinclair
Ryan Smith
D. T. H. van der Merwe
Delon Armitage
Tom Croft
Leone Nakarawa
Napolioni Nalaga
Netani Talei
Thierry Dusautoir
Maxime Médard
Maxime Mermoz
Lionel Nallet
Pascal Papé
Morgan Parra
Julien Pierre
Damien Traille
Dimitri Basilaia
Mamuka Gorgodze
Lasha Khmaladze
Rory Best
Isaac Boss
Tony Buckley
Shane Jennings
Rob Kearney
Fergus McFadden
Seán O'Brien
Brian O'Driscoll
Andrew Trimble
Martin Castrogiovanni
Edoardo Gori
Luke McLean
Luciano Orquera
Alessandro Zanni
Kosuke Endo
Kensuke Hatakeyama
Shota Horie
Michael Leitch
Hirotoki Onozawa
Alisi Tupuailei
Chrysander Botha
Theuns Kotzé
Danie van Wyk
Jimmy Cowan
Andy Ellis
Andrew Hore
Cory Jane
Keven Mealamu
Mils Muliaina
Kieran Read
Colin Slade
Conrad Smith
Brad Thorn
Isaia Toeava
Tony Woodcock
Daniel Carpo
Ionel Cazan
Mihăiţă Lazăr
Vasily Artemyev
Alexey Makovetskiy
Konstantin Rachkov
Alexander Yanyushkin
Tendai Mtawarira
Gurthrö Steenkamp
Anthony Perenise
Paul Williams
Joe Ansbro
Mike Blair
Suka Hufanga
Tukulua Lokotui
Viliami Maʻafu
Sona Taumalolo
Fetuʻu Vainikolo
Paul Emerick
JJ Gagiano
Mike Petri
Chris Wyles
Aled Brew
Lloyd Burns
Lee Byrne
Gethin Jenkins
Alun Wyn Jones
Sam Warburton
Drop goal scorers
3 drop goals
Theuns Kotzé
Dan Parks
2 drop goals
Ander Monro
François Trinh-Duc
1 drop goal
Berrick Barnes
Quade Cooper
Jonny Wilkinson
Johnny Sexton
Dan Carter
Aaron Cruden
Konstantin Rachkov
Tusi Pisi
Ruaridh Jackson
Morn |
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