source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/FC%20Otep%C3%A4%C3%A4 | FC Otepää is a football club, based in Otepää, Estonia.
Since January 2019, the club acts as a youth team for Tartu JK Tammeka.
Players
Current squad
''As of 14 June 2017.
Statistics
League and Cup
References
External links
Official website
Association football clubs established in 2004
Valga County
2004 establishments in Estonia
Football clubs in Estonia |
https://en.wikipedia.org/wiki/Francesco%20Nucara | Francesco Nucara (3 April 1940 – 12 May 2022) was an Italian politician.
Biography
Francesco Nucara was born in Reggio Calabria, and graduated in statistics and actuarial science and architecture.
He was elected in the Chamber of Deputies for the first time in the 1983 general election, into the list of the Republican Party.
In 1989 he was appointed Undersecretary of State for Public Works in the Andreotti VI Cabinet.
In 2001 he was appointed National Secretary of the PRI. Under his leadership the PRI has strengthened the alliance with the House of Freedom led by Silvio Berlusconi. In the same year he was appointed Deputy Minister of Environment in the Berlusconi II Cabinet.
In the 2006 general election he was elected at the Chamber of Deputies with Forza Italia and in the 2008 general election he was re-elected with The People of Freedom.
References
1940 births
2022 deaths
People from Reggio Calabria
Italian Republican Party politicians
Deputies of Legislature IX of Italy
Deputies of Legislature X of Italy
Deputies of Legislature XI of Italy
Deputies of Legislature XV of Italy
Deputies of Legislature XVI of Italy
Politicians of Calabria |
https://en.wikipedia.org/wiki/Box-counting%20content | In mathematics, the box-counting content is an analog of Minkowski content.
Definition
Let be a bounded subset of -dimensional Euclidean space such that the box-counting dimension exists.
The upper and lower box-counting contents of are defined by
where is the maximum number of disjoint closed balls with centers
and radii .
If , then the common value, denoted , is called the box-counting content of .
If , then is said to be box-counting measurable.
Examples
Let denote the unit interval.
Note that the box-counting dimension and the Minkowski dimension coincide with a common value of 1; i.e.
Now observe that , where denotes the integer part of . Hence is box-counting measurable with .
By contrast, is Minkowski measurable with .
See also
Box counting
References
Fractals |
https://en.wikipedia.org/wiki/Paul%20R.%20Rosenbaum | Paul R. Rosenbaum is the Robert G. Putzel Professor Emeritus in the Department of Statistics and Data Science at Wharton School of the University of Pennsylvania, where he worked from 1986 through 2021. He has written extensively about causal inference in observational studies, including sensitivity analysis, optimal matching, design sensitivity, evidence factors, quasi-experimental devices, and (with Donald B. Rubin) the propensity score. With various coauthors, he has also written about health outcomes, racial disparities in health outcomes, instrumental variables, psychometrics and experimental design.
Rosenbaum is the author of several books: (i) Observational Studies, first edition 1995, second edition 2002, in the Springer Series in Statistics, New York: Springer, (ii) Design of Observational Studies, first edition 2010, second edition 2020, in the Springer Series in Statistics, New York: Springer, (iii) Observation and Experiment: An Introduction to Causal Inference, 2017, Cambridge, MA: Harvard University Press, (iv) Replication and Evidence Factors in Observational Studies, 2021, in the Chapman & Hall/CRC Monographs on Statistics and Applied Probability, 167, New York: CRC Press/Taylor & Francis Group.
For work in causal inference, the Committee of Presidents of Statistical Societies gave Rosenbaum the R. A. Fisher Award and Lectureship in 2019 and the George W. Snedecor Award in 2003. His R. A. Fisher Lecture is available on YouTube beginning at minute 32. He received Nathan Mantel Award from the Section on Statistics in Epidemiology of the American Statistical Association in 2017, and the Long-Term Excellence Award from the Health Policy Statistics Section of the American Statistical Association in 2018. He delivered an Institute of Mathematical Statistics Medallion Lecture about evidence factors in 2020, and a complete and a short version of the lecture are available on YouTube. He is a Fellow of the American Statistical Association.
References
Year of birth missing (living people)
Living people
University of Pennsylvania faculty
American statisticians
Fellows of the American Statistical Association
Harvard University alumni |
https://en.wikipedia.org/wiki/SK%20Imavere | SK Imavere is a football club, based in Imavere, Estonia.
The club also has a reserve team, JK Väätsa Vald, which plays in the III Liiga.
Players
Current squad
Statistics
League and Cup
References
Association football clubs established in 2012
Järva County
2012 establishments in Estonia
Football clubs in Estonia |
https://en.wikipedia.org/wiki/Emerson%20%28footballer%2C%20born%20August%201982%29 | Emerson José da Conceição (born August 3, 1982, in Rancharia), known as Emerson or Emerson Conceição, is a Brazilian footballer who plays as a goalkeeper.
Career statistics
Honours
Paysandu
Campeonato Paraense: 2016, 2017
Copa Verde: 2016
References
External links
1982 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football goalkeepers
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Paulista Futebol Clube players
Guarani FC players
Boa Esporte Clube players
Paysandu Sport Club players
Londrina Esporte Clube players
DPMM FC players
Brazilian expatriate sportspeople in Brunei
Expatriate men's footballers in Brunei
Brunei Super League players
Singapore Premier League players |
https://en.wikipedia.org/wiki/Mary%20Cordia%20Karl | Elizabeth Karl (Sister Mary Cordia) (November 16, 1893 – August 30, 1984) was an American mathematician who contributed significantly to the theory of orthopoles in geometry. This was the subject of her PhD thesis at Johns Hopkins University in 1931.
She was Head of the Mathematics department at College Notre Dame of Maryland (now Notre Dame of Maryland University) until 1965, when she retired with the title of Professor Emeritus.
She was a 1916 graduate of Hunter College High School.
PhD thesis
Her PhD thesis was titled "Projective Theory of the Orthopoles". A large summary of this work was published in the American Mathematical Monthly (June–July 1932, pages 327–338). The key idea is to associate a well chosen line-parabola to each ordinary line in the plane, in such a way that the orthopole of any element of the line-parabola belongs to initial line. This correspondence can be illustrated by the following figure (where L is the line at infinity and A1, A2, A3 the base triangle):
Such a projective apparatus makes it possible, given a point in the plane, to determine the lines that admit this point as orthopole. In the general case, there are four of them (including the line at infinity and the complex lines if any).
References
1893 births
1984 deaths
American women mathematicians
Hunter College High School alumni
20th-century American mathematicians
Place of birth missing
Place of death missing
Notre Dame of Maryland University
Educators from Maryland
Johns Hopkins University alumni
20th-century women mathematicians
20th-century American educators
20th-century American women educators |
https://en.wikipedia.org/wiki/1894%E2%80%9395%20Sheffield%20Shield%20season | The 1894–95 Sheffield Shield season was the third season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Syd Gregory 339
Most Wickets
George Giffen 60
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1895%E2%80%9396%20Sheffield%20Shield%20season | The 1895–96 Sheffield Shield season was the fourth season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Frank Iredale 469
Most Wickets
Tom McKibbin 65
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1896%E2%80%9397%20Sheffield%20Shield%20season | The 1896–97 Sheffield Shield season was the fifth season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Jack Lyons 404
Most Wickets
Tom McKibbin 44
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1897%E2%80%9398%20Sheffield%20Shield%20season | The 1897–98 Sheffield Shield season was the sixth season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Clem Hill 367
Most Wickets
Ernie Jones 33
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1898%E2%80%9399%20Sheffield%20Shield%20season | The 1898–99 Sheffield Shield season was the seventh season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Clem Hill 502
Most Wickets
Hugh Trumble 34
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1899%E2%80%931900%20Sheffield%20Shield%20season | The 1899–1900 Sheffield Shield season was the eighth season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Monty Noble 515
Most Wickets
Monty Noble 24 & George Giffen 24
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/Tuitionkit | Tuitionkit is a UK-based online learning website for academic subjects such as English, Mathematics and Science. The website mainly focuses on structured video learning.
History
The website was founded in 2015 by Leon Hady, a former UK headteacher. Tuitionkit started as a self-funded venture allowing students to view interactive video content to support revision in Maths, English and Science for GCSE and A Levels. As of November 2016 it has 20,000 users.
Leon, who has been guiding pupils online since 2009 through YouTube channels, founded the website with the core focus of building a video platform that avoided displaying adverts to students (such as in the case of viewing tutorials on websites like YouTube) as well as making it a cheap alternative to in-person tuition.
The Tuitionkit subscription service allows students to watch over 2,000 tutorials as well as review more than 500 model exam question answers. Additionally, this is done with a track of the students' learning progress and an in-video questioning. The website also includes additional tools for teachers to use and teacher training videos.
Future expansions of the website include learning rooms in Egypt and Brazil among others.
References
British educational websites |
https://en.wikipedia.org/wiki/Fernando%20Zampedri | Fernando Matías Zampedri (born 14 February 1988) is an Argentine footballer who plays for Universidad Católica .
Career statistics
Club
Honours
Club
Rosario Central
Copa Argentina: 2017–18
Universidad Católica
Primera División de Chile: 2020, 2021
Supercopa de Chile: 2020, 2021
Individual
Top goalscorer Primera División de Chile: 2020, 2021, 2022
Top goalscorer Copa Chile: 2022
References
1988 births
Living people
Argentine men's footballers
Argentine people of Italian descent
Atlético de Rafaela footballers
Sportivo Belgrano footballers
Crucero del Norte footballers
Guillermo Brown de Puerto Madryn footballers
Boca Unidos footballers
Juventud Unida de Gualeguaychú players
Atlético Tucumán footballers
Rosario Central footballers
Club Deportivo Universidad Católica footballers
Chilean Primera División players
Argentine Primera División players
Primera Nacional players
Expatriate men's footballers in Chile
Men's association football forwards
Footballers from Entre Ríos Province |
https://en.wikipedia.org/wiki/Wolfgang%20Franz%20%28mathematician%29 | Wolfgang Franz (born 4 October 1905 in Magdeburg, Germany; died 26 April 1996) was a German mathematician who specialised in topology particularly in 3-manifolds, which he generalized to higher dimensions. He is known for the Reidemeister–Franz torsion. He also made important contributions to the theory of lens spaces.
During World War II Franz led a group of five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Georg Aumann, Alexander Aigner, Oswald Teichmüller and Johann Friedrich Schultze, to form the backbone of the new mathematical research department in the field of cryptology, in the late 1930s. This would eventually be known as: Section IVc of Cipher Department of the High Command of the Wehrmacht (abbr. OKW/Chi). After the war, he returned to teach at the Goethe University Frankfurt and was awarded the Chair of Mathematics in 1949. In 1967 he became the Chairman of the German Mathematical Society. He became Dean of the Faculty of Science for several periods starting in 1950 before being promoted to emeritus professor in 1974.
Life
Wolfgang Franz was the son of a Chief Auditor (German:Oberstudiendirektor) and studied mathematics, physics and philosophy at the University of Kiel (after his high school diploma in Kiel) with exams in Berlin, Vienna and Halle. In 1930 he passed the Lehramt examination in Kiel. He was promoted in 1930 to Dr Phil on David Hilbert's Irreduzibilitätssatz problem, with a doctoral thesis titled: Investigations on Hilbert's irreducibility (German:Untersuchungen zum Hilbertschen Irreduzibilitätssatz) in Halle, his doctoral advisor was Helmut Hasse (after he had started a dissertation with a different topic under Ernst Steinitz, but he died). Together with Hasse, Franz went to Marburg, where he was assistant to Hasse from 1930 to 1934, and remained there when Hasse received a call to the University of Göttingen in 1934. Working with Hasse, he dealt with algebraic number theory and produced a script of Hassen's lecture on class-field theory. In 1934 he joined the SA, the paramilitary wing of the Nazi Party in Nazi Germany, to increase his career chances. In 1936, Franz habilited in the field of algebraic topology under Kurt Reidemeister in Marburg. In 1937 he moved to the University of Giessen, where he taught as a lecturer from 1939 onwards.
Franz wanted to change to Frankfurt in 1940, but in the summer of 1940 he was promoted to the command post of the Wehrmacht. Nevertheless, at the request of the Faculty of Science, he was appointed an extraordinary professor in 1943.
The faculty's application states:
His work is characterized as a pattern of clarity, mastery in expression and matter, he has shown himself as a researcher of rank and is well known in his teaching abilities. As a teacher as well as a researcher, he is one of the best hopes ...
War work
In the Second World War, he worked in the OKW/Chi, the cipher bureau of the High Command of the Wehrmacht. He worked in Chi IVc with |
https://en.wikipedia.org/wiki/Orthopole | In geometry, the orthopole of a system consisting of a triangle ABC and a line ℓ in the same plane is a point determined as follows. Let be the feet of perpendiculars dropped on ℓ from respectively. Let be the feet of perpendiculars dropped from to the sides opposite (respectively) or to those sides' extensions. Then the three lines are concurrent. The point at which they concur is the orthopole.
Due to their many properties, orthopoles have been the subject of a large literature.
Some key topics are determination of the lines having a given orthopole and orthopolar circles.
Literature
Orthopole=Ортополюс. In Russian
References
Points defined for a triangle |
https://en.wikipedia.org/wiki/1901%E2%80%9302%20Sheffield%20Shield%20season | The 1901–02 Sheffield Shield season was the tenth season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Clem Hill 264
Most Wickets
Arthur McBeath 20
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1902%E2%80%9303%20Sheffield%20Shield%20season | The 1902–03 Sheffield Shield season was the 11th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Reggie Duff 583
Most Wickets
Bill Howell 26
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1903%E2%80%9304%20Sheffield%20Shield%20season | The 1903–04 Sheffield Shield season was the 12th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Reggie Duff 492
Most Wickets
Bert Hopkins 21
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1904%E2%80%9305%20Sheffield%20Shield%20season | The 1904–05 Sheffield Shield season was the 13th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Monty Noble 373
Most Wickets
John Reedman 19
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1905%E2%80%9306%20Sheffield%20Shield%20season | The 1905–06 Sheffield Shield season was the 14th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
James Mackay 559
Most Wickets
Jack Saunders 27
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1906%E2%80%9307%20Sheffield%20Shield%20season | The 1906–07 Sheffield Shield season was the 15th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Austin Diamond 451
Most Wickets
Albert Wright 25
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1908%E2%80%9309%20Sheffield%20Shield%20season | The 1908–09 Sheffield Shield season was the 17th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Vernon Ransford 720
Most Wickets
Jack O'Connor 26
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1909%E2%80%9310%20Sheffield%20Shield%20season | The 1909–10 Sheffield Shield season was the 18th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship.
Table
Statistics
Most Runs
Clem Hill 609
Most Wickets
Sid Emery 23
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1911%E2%80%9312%20Sheffield%20Shield%20season | The 1911–12 Sheffield Shield season was the 20th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Warren Bardsley 450
Most Wickets
Tibby Cotter 28
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1912%E2%80%9313%20Sheffield%20Shield%20season | The 1912–13 Sheffield Shield season was the 21st season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship.
Table
Statistics
Most Runs
Ernie Mayne 476
Most Wickets
Bill Whitty 25
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1913%E2%80%9314%20Sheffield%20Shield%20season | The 1913–14 Sheffield Shield season was the 22nd season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Charlie Macartney 445
Most Wickets
Jack Crawford 33
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/Toronto%20Wolfpack%20records%20and%20statistics | This is a list of all the records and statistics of rugby league side the Toronto Wolfpack. It concentrates on the records of the team and the performances of the players who have played for this team. The newly created Wolfpack played their first game against Siddal ARFLC in the 2017 Challenge Cup on 25 February 2017, Toronto won the match 14–6. As of 5 October 2019 the Wolfpack have played 88 games.
Team records
Matches played
Results summary
Italics: Club folded
Top 10 Highest scores
Lowest scores
Biggest wins
Biggest losses
Individual records
Most matches as captain
Most career appearances
Most career points
Most career tries
Most career goals
Most career drop goals
Most points in a season
Most tries in a season
Most goals in a season
Most drop goals in a season
Most points in a match
Most tries in a match
Most goals in a match
Most drop goals in a match
Attendance records
Season average attendance
Highest match attendance
Coaching
References
Statistics
Rugby league records and statistics |
https://en.wikipedia.org/wiki/1920%E2%80%9321%20Sheffield%20Shield%20season | The 1920–21 Sheffield Shield season was the 25th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Warren Bardsley 648
Most Wickets
Arthur Mailey 26
Notable events
New South Wales set the record, which still stands, for the highest second innings total by a team in a first-class match, when scoring 770 against South Australia at Adelaide in January 1921. As well as this total, South Australia conceded innings totals of 639, 724 and 802 in their three other matches.
References
External links
Season at ESPN Cricinfo
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1921%E2%80%9322%20Sheffield%20Shield%20season | The 1921–22 Sheffield Shield season was the 26th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Jack Ryder 484
Most Wickets
Ted McDonald 25
References
External links
Season at ESPN Cricinfo
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1995%E2%80%9396%20FK%20Sarajevo%20season | The 1995-1996 season was FK Sarajevo's 47th season in history, and their 2nd consecutive season in the top flight of Bosnian football.
Players
Squad
(Captain)
(Captain)
(C)
Statistics
Kit
Competitions
Premier League
League table
References
FK Sarajevo seasons
Sarajevo |
https://en.wikipedia.org/wiki/Classical%20Lie%20algebras | The classical Lie algebras are finite-dimensional Lie algebras over a field which can be classified into four types , , and , where for the general linear Lie algebra and the identity matrix:
, the special linear Lie algebra;
, the odd-dimensional orthogonal Lie algebra;
, the symplectic Lie algebra; and
, the even-dimensional orthogonal Lie algebra.
Except for the low-dimensional cases and , the classical Lie algebras are simple.
The Moyal algebra is an infinite-dimensional Lie algebra that contains all classical Lie algebras as subalgebras.
See also
Simple Lie algebra
Classical group
References
Algebra
Lie algebras |
https://en.wikipedia.org/wiki/254%20%28number%29 | 254 (two hundred [and] fifty-four) is the natural number following 253 and preceding 255.
In mathematics
It is a deficient number, since the sum of its divisors (excluding the same number) is 130 < 254.
It is a semiprime number. Moreover, in American English, its name has a semiprime number of syllables.
It is a square-free integer.
It is a nontotient.
It is a lazy caterer number.
It is a congruent number.
References
Integers |
https://en.wikipedia.org/wiki/%C4%8Cech%20complex | In algebraic topology and topological data analysis, the Čech complex is an abstract simplicial complex constructed from a point cloud in any metric space which is meant to capture topological information about the point cloud or the distribution it is drawn from. Given a finite point cloud X and an ε > 0, we construct the Čech complex as follows: Take the elements of X as the vertex set of . Then, for each , let if the set of ε-balls centered at points of σ has a nonempty intersection. In other words, the Čech complex is the nerve of the set of ε-balls centered at points of X. By the nerve lemma, the Čech complex is homotopy equivalent to the union of the balls, also known as the Offset Filtration.
Relation to Vietoris–Rips complex
The Čech complex is a subcomplex of the Vietoris–Rips complex. While the Čech complex is more computationally expensive than the Vietoris–Rips complex, since we must check for higher order intersections of the balls in the complex, the nerve theorem provides a guarantee that the Čech complex is homotopy equivalent to union of the balls in the complex. The Vietoris-Rips complex may not be.
See also
Vietoris–Rips complex
Topological data analysis
Čech cohomology
Computational geometry
Abstract simplicial complex
Simplicial complex
Simplicial homology
References
Algebraic topology |
https://en.wikipedia.org/wiki/Jellel%20Gasteli | Jellel Gasteli (born in Tunis in 1958) is a French-Tunisian photographer. He is best known for his minimalistic "White Series" (La Série Blanche), which captures the geometry of light and shadow on traditional white-washed Tunisian buildings. Having lived many years in Paris, Gasteli is currently residing in Tunis.
Gasteli's work was included in the exhibition Africa Remix at the Mori Art Museum.
References
1958 births
Living people
Tunisian photographers |
https://en.wikipedia.org/wiki/List%20of%20the%20busiest%20airports%20in%20Taiwan | The tables below contains data published by the Civil Aeronautics Administration on the busiest airports in Taiwan by total passenger traffic.
In graph
2018 statistics
The 17 airports in Taiwan in 2018 ordered by total passenger traffic, according to statistics of Taiwan Civil Aeronautics Administration.。
2016 statistics
The 17 airports in Taiwan in 2016 ordered by total passenger traffic, according to statistics of Taiwan Civil Aeronautics Administration.。
References
Taiwan |
https://en.wikipedia.org/wiki/1923%E2%80%9324%20Sheffield%20Shield%20season | The 1923–24 Sheffield Shield season was the 28th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Bill Ponsford 529
Most Wickets
Albert Hartkopf 22
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1924%E2%80%9325%20Sheffield%20Shield%20season | The 1924–25 Sheffield Shield season was the 29th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Alan Kippax 532
Most Wickets
Clarrie Grimmett 28
Notable events
South Australia's victory by 161 runs over New South Wales at Adelaide in January 1925 was their first victory in a Sheffield Shield match since their defeat of Victoria at Adelaide in February 1914.
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1925%E2%80%9326%20Sheffield%20Shield%20season | The 1925–26 Sheffield Shield season was the 30th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Bill Woodfull 597
Most Wickets
John Scott 22
Notable events
New South Wales recorded crushing victories in all four matches - winning three by an innings and the fourth by over 500 runs, scoring 554, 705, 642, 593 and 708 in their innings.
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/Bickley%E2%80%93Naylor%20functions | In physics, engineering, and applied mathematics, the Bickley–Naylor functions are a sequence of special functions arising in formulas for thermal radiation intensities in hot enclosures. The solutions are often quite complicated unless the problem is essentially one-dimensional (such as the radiation field in a thin layer of gas between two parallel rectangular plates). These functions have practical applications in several engineering problems related to transport of thermal or neutron, radiation in systems with special symmetries (e.g. spherical or axial symmetry). W. G. Bickley was a British mathematician born in 1893.
Definition
The nth Bickley−Naylor function is defined by
and it is classified as one of the generalized exponential integral functions.
All of the functions for positive integer n are monotonously decreasing functions, because is a decreasing function and is a positive increasing function for .
Properties
The integral defining the function generally cannot be evaluated analytically, but can be approximated to a desired accuracy with Riemann sums or other methods, taking the limit as a → 0 in the interval of integration, [a, /2].
Alternative ways to define the function include the integral, integral forms the Bickley-Naylor function:
where is the modified Bessel function of the zeroth order. Also by definition we have .
Series expansions
The series expansions of the first and second order Bickley functions are given by:
where is the Euler constant and
Recurrence relation
The Bickley functions also satisfy the following recurrence relation:
where .
Asymptotic expansions
The asymptotic expansions of Bickley functions are given as
for
Successive differentiation
Differentiating with respect to x gives
Successive differentiation yields
The values of these functions for different values of the argument x were often listed in tables of special functions in the era when numerical calculation of integrals was slow. A table that lists some approximate values of the three first functions Kin is shown below.
Computer code
Computer code in Fortran is made available by Amos.
See also
Exponential integral
References
Special functions |
https://en.wikipedia.org/wiki/Three-dimensional%20graph | A three-dimensional graph may refer to
A graph (discrete mathematics), embedded into a three-dimensional space
The graph of a function of two variables, embedded into a three-dimensional space |
https://en.wikipedia.org/wiki/Diogo%20Calixto | Diogo Lima Calixto (born 26 January 1993), sometimes known as just Diogo or Calixto, is a Brazilian footballer who plays for Inter de Limeira as a left back.
Career statistics
References
External links
1993 births
Living people
People from Pindamonhangaba
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série D players
Botafogo Futebol Clube (SP) players
Mirassol Futebol Clube players
Ituano FC players
Associação Atlética Internacional (Limeira) players
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/1932%E2%80%9333%20Sheffield%20Shield%20season | The 1932–33 Sheffield Shield season was the 37th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Don Bradman 600
Most Wickets
Clarrie Grimmett 43
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1933%E2%80%9334%20Sheffield%20Shield%20season | The 1933–34 Sheffield Shield season was the 38th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Don Bradman 922
Most Wickets
Chuck Fleetwood-Smith 39 & Clarrie Grimmett 39
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1934%E2%80%9335%20Sheffield%20Shield%20season | The 1934–35 Sheffield Shield season was the 39th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Jack Fingleton 593
Most Wickets
Chuck Fleetwood-Smith 60
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1935%E2%80%9336%20Sheffield%20Shield%20season | The 1935–36 Sheffield Shield season was the 40th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship.
Table
Statistics
Most Runs
Don Bradman 739
Most Wickets
Frank Ward 33
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1936%E2%80%9337%20Sheffield%20Shield%20season | The 1936–37 Sheffield Shield season was the 41st season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship.
Table
Statistics
Most Runs
Keith Rigg 593
Most Wickets
Chuck Fleetwood-Smith 34
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1937%E2%80%9338%20Sheffield%20Shield%20season | The 1937–38 Sheffield Shield season was the 42nd season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship.
Table
Statistics
Most Runs
Don Bradman 983
Most Wickets
Bill O'Reilly 33
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/1938%E2%80%9339%20Sheffield%20Shield%20season | The 1938–39 Sheffield Shield season was the 43rd season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship.
Table
Statistics
Most Runs
Bill Brown 990
Most Wickets
Clarrie Grimmett 27
References
Sheffield Shield
Sheffield Shield
Sheffield Shield seasons |
https://en.wikipedia.org/wiki/Da%20Silva%20%28footballer%2C%20born%201991%29 | Elry Enio Bezerra da Silva (born 26 June 1991), known as Da Silva, is a Brazilian footballer who plays for Barbalha as a midfielder.
Career statistics
References
External links
1991 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Clube Atlético Sorocaba players
Associação Desportiva Recreativa e Cultural Icasa players |
https://en.wikipedia.org/wiki/Jean-Pierre%20Demailly | Jean-Pierre Demailly (25 September 1957 – 17 March 2022) was a French mathematician who worked in complex geometry. He was a professor at Université Grenoble Alpes and a permanent member of the French Academy of Sciences.
Early life and education
Demailly was born on 25 September 1957 in Péronne, France. He attended the Lycée de Péronne from 1966 to 1973 and the Lycée Faidherbe from 1973 to 1975. He entered the École Normale Supérieure in 1975, where he received his agrégation in 1977 and graduated in 1979. During this time, he received an undergraduate licence degree from Paris Diderot University in 1976 and a diplôme d'études approfondies under Henri Skoda at the Pierre and Marie Curie University in 1979. He received his Doctorat d'État in 1982 under the direction of Skoda at the Pierre and Marie Curie University, with thesis "Sur différents aspects de la positivité en analyse complexe".
Career
Demailly became a professor at Université Grenoble Alpes in 1983. He served as the editor-in-chief of the Annales de l'Institut Fourier from 1998 to 2006 and the editor-in-chief of Comptes Rendus Mathématique from 2010 to 2015. He was also an editor for Inventiones Mathematicae from 1997 to 2002.
He was the director of the Institut Fourier from 2003 to 2006. From June 2003 onwards, he led the Groupe de réflexion interdisciplinaire sur les programmes (GRIP), which ran experimental classes in primary schools.
Research
Demailly's mathematical works primarily concerned complex analytic geometry, using techniques from complex geometry with applications to algebraic geometry and number theory. He also wrote and co-authored several Unix and Linux libraries starting in the 1990s, including xpaint, sunclock, and dmg2img.
Kählerian geometry
One main topic of Demailly's research is Pierre Lelong's generalization of the notion of a Kähler form to allow forms with singularities, known as currents. In particular, for a compact complex manifold , an element of the Dolbeault cohomology group is called pseudo-effective if it is represented by a closed positive (1,1)-current (where "positive" means "nonnegative" in this phrase), or big if it is represented by a strictly positive (1,1)-current; these definitions generalize the corresponding notions for holomorphic line bundles on projective varieties. Demailly's regularization theorem says, in particular, that any big class can be represented by a Kähler current with analytic singularities.
Such analytic results have had many applications to algebraic geometry. In particular, Boucksom, Demailly, Păun, and Peternell showed that a smooth complex projective variety is uniruled if and only if its canonical bundle is not pseudo-effective.
Multiplier ideals
For a singular metric on a line bundle, Nadel, Demailly, and Yum-Tong Siu developed the concept of the multiplier ideal, which describes where the metric is most singular. There is an analog of the Kodaira vanishing theorem for such a metric, on compact or noncompac |
https://en.wikipedia.org/wiki/Tracy%20Gahan | Tracy Gahan (born July 18, 1980) is an American retired professional basketball player.
Career
College
In college, Gahan attended Iowa State University in Ames, Iowa.
Iowa State statistics
Source
WNBA
After her college career, Gahan was picked 46th overall by the New York Liberty in the 2002 WNBA draft. However, she was soon released. After strong showings during her championship season in Australia, Gahan was invited to the Connecticut Sun's training camp before the 2008 WNBA season. Gahan was released before the season began.
Europe
After spending an additional year at college to complete her degree, Gahan began her career in Greece. In 2003, she spent her first season with Peiraikos, before moving to Panathinaikos for her second season in A1 Ethniki Women's Basketball. In 2005, Gahan travelled west to Ireland, playing for DCU Mercy in the Irish Women's Super League. After a season away, she returned in 2007 after her Australian season concluded, signing with Botaş SK for the conclusion of the Turkish season.
After three years in Australia, Gahan played for PTS Lider Pruszków in Poland's Basket Liga Kobiet. Towards the end of the 2009–10 season, she switched to Tęcza Leszno for the remainder of her time in Poland.
Australia
In 2006, Gahan signed with the Adelaide Lightning to play in the Women's National Basketball League, Australia's premier women's league and the strongest league in the southern hemisphere. In her second season with the Lightning, Gahan was awarded a place in the WNBL All-Star Five for 2007–08. The Lightning would also go on to take home the 2007–08 WNBL Championship. She returned to the league in 2010, signing with the Dandenong Rangers.
Personal life
Gahan is married to former Adelaide Lightning teammate, WNBA player and Australian Olympian, Erin Phillips. They have three children, twins Blake and Brooklyn born in November 2016, and Drew, born in July 2019.
References
1980 births
Living people
Adelaide Lightning players
American women's basketball players
Basketball players from Texas
Botaş SK players
Dandenong Rangers players
Forwards (basketball)
Iowa State Cyclones women's basketball players
LGBT people from Texas
LGBT basketball players
American LGBT sportspeople
New York Liberty draft picks
Panathinaikos WBC players
Sportspeople from McKinney, Texas
Lesbian sportswomen |
https://en.wikipedia.org/wiki/Cl%C3%A1udio%20Britto | Cláudio Vinícius dos Santos Britto (born March 11, 1976), known as Cláudio Britto, is a Brazilian footballer who plays as midfielder.
Career statistics
References
External links
1976 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série C players
União Agrícola Barbarense Futebol Clube players
Esporte Clube Santo André players
Footballers from Porto Alegre |
https://en.wikipedia.org/wiki/Rafael%20Silva%20%28footballer%2C%20born%201984%29 | Rafael Monteiro Alves da Silva (born January 25, 1984 in Presidente Prudente), known as Rafael Silva, is a Brazilian footballer who plays as defender.
Career statistics
References
External links
1984 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série C players
União Agrícola Barbarense Futebol Clube players
Esporte Clube São Bento players
Marília Atlético Clube players
Clube Atlético Juventus players |
https://en.wikipedia.org/wiki/Fan%20triangulation | In computational geometry, a fan triangulation is a simple way to triangulate a polygon by choosing a vertex and drawing edges to all of the other vertices of the polygon. Not every polygon can be triangulated this way, so this method is usually only used for convex polygons.
Properties
Aside from the properties of all triangulations, fan triangulations have the following properties:
All convex polygons, but not all polygons, can be fan triangulated.
Polygons with only one concave vertex can always be fan triangulated, as long as the diagonals are drawn from the concave vertex.
It can be known if a polygon can be fan triangulated by solving the Art gallery problem, in order to determine whether there is at least one vertex that is visible from every point in the polygon.
The triangulation of a polygon with vertices uses diagonals, and generates triangles.
Generating the list of triangles is trivial if an ordered list of vertices is available, and can be computed in linear time. As such, it is unnecessary to explicitly store the list of triangles, and therefore, many graphical libraries implement primitives to represent polygons based on this triangulation.
Although this triangulation is fit for solving certain problems, such as Rasterisation, or collision detection, it may be unfit for other tasks because the origin vertex accumulates a high number of neighbors, and the internal angles of the triangulation are unevenly distributed.
See also
Triangle fan
References
Triangulation (geometry)
Geometric algorithms |
https://en.wikipedia.org/wiki/%C3%89der%20Prud%C3%AAncio | Éder Marcelo Prudêncio (born May 14, 1980 in Maracaí), known as Éder Prudêncio or Éder Louco, is a Brazilian footballer who plays for CRB as midfielder.
Career statistics
References
External links
1980 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Clube de Regatas Brasil players
Mirassol Futebol Clube players
Marília Atlético Clube players
Associação Desportiva São Caetano players
Esporte Clube São Bento players |
https://en.wikipedia.org/wiki/Val%20%28footballer%2C%20born%201983%29 | Lucivaldo Lázaro de Abreu (born August 22, 1983 in Natal), known as Val, is a Brazilian footballer who plays as midfielder for Centro Esportivo Força e Luz.
Career statistics
Honours
Flamengo
Copa do Brasil: 2013
América de Natal
Campeonato Potiguar: 2014
Botafogo da Paraíba
Campeonato Paraibano: 2017
References
External links
1983 births
Footballers from Natal, Rio Grande do Norte
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Mogi Mirim Esporte Clube players
CR Flamengo footballers
Botafogo Futebol Clube (PB) players
América Futebol Clube (RN) players
Esporte Clube Bahia players
Alecrim Futebol Clube players
Clube Atlético do Porto players |
https://en.wikipedia.org/wiki/Fernandes%20%28footballer%2C%20born%201985%29 | Micerlanio Fernandes da Silva (born April 24, 1985 in Caaporã), known as Fernandes, is a Brazilian footballer who plays for Remo as midfielder.
Career statistics
References
External links
1985 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Botafogo Futebol Clube (PB) players
América Futebol Clube (RN) players
Treze Futebol Clube players
Campinense Clube players
Oeste Futebol Clube players
Esporte Clube XV de Novembro (Piracicaba) players
Associação Desportiva São Caetano players
Paraná Clube players |
https://en.wikipedia.org/wiki/Pir%C3%A3o | Manoel Almeida Júnior (born December 31, 1985 in Campos dos Goytacazes), known by his nickname Pirão, is a Brazilian footballer who plays for Madureira as left back.
Career statistics
References
External links
1985 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Americano FC players
Clube de Regatas Brasil players
Associação Desportiva São Caetano players
Associação Atlética Ponte Preta players
Criciúma Esporte Clube players
Avaí FC players
Madureira Esporte Clube players
Sportspeople from Campos dos Goytacazes
Footballers from Rio de Janeiro (state) |
https://en.wikipedia.org/wiki/Georg%20Aumann | Georg Aumann (11 November 1906, Munich, Germany – 4 August 1980), was a German mathematician. He was known for his work in general topology and regulated functions. During World War II, he worked as part of a group of five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Alexander Aigner, Oswald Teichmueller and Johann Friedrich Schultze, and led by Wolfgang Franz, to form the backbone of the new mathematical research department in the late 1930s, which would eventually be called: Section IVc of Cipher Department of the High Command of the Wehrmacht (abbr. OKW/Chi). He also worked as a cryptanalyst, on the initial breaking of the most difficult cyphers. He also researched and developed cryptography theory.
Life
Born in Munich, George Aumann initially considered a career as a civil servant. From 1925, Aumann studied mathematics and physics at the Ludwig-Maximilian-University of Munich, among others with Professor Constantin Carathéodory and Professor Heinrich Tietze. He was promoted in 1931 to Doctor of Philosophy with a thesis titled: contributions to the theory of decomposition spaces (German:Beiträge zur Theorie der Zerlegungsräume) In 1933 he habilitated twice, at the Technical University of Munich, and at the University of Munich (with different degrees of postdoctoral dissertation). In 1934–35 he was appointed a Rockefeller scholar at the Institute for Advanced Study in Princeton N.J. In 1936 he became an extraordinary professor at the Goethe University in Frankfurt. At the beginning of the war, he was conscripted for military service Appeals to a full professorship failed several times because he was regarded as politically unreliable among the Nazis Ministry of Education. In all these years his wife was an indispensable, prudent and energetic support to him.
In 1949 he became full professor at the University of Würzburg and in 1950 at the University of Munich. In 1960 he moved to a professorship at the Technical University of Munich. After the war, he received an apology.
In 1954 he published Real Functions, a nine-chapter textbook on real analysis. In a review, Paul Halmos said "The quality, quantity, organization, and exposition of its contents, together with the fact that much of the material in it has not been available hitherto in book form, serve to make it a recommended part of the library of every modern analyst." The text was re-printed in 1969.
He also dealt with conformal illustrations, properties of complex polynomials, band theory and cluster theory. Aumann also wrote a three-dimensional analysis textbook with Otto Haupt and a three-volume mathematics textbook for engineers.
In 1958 Aumann became a full member of the Bavarian Academy of Sciences
In 1977 the University of Erlangen awarded Aumann an Honorary Doctor of Science degree, Doctor rerum naturalium honoris causa.
Contact and neighborhood relations
In 1970 Aumann contributed to the theory of binary relations with a generalization of the |
https://en.wikipedia.org/wiki/Lel%C3%AA%20%28footballer%2C%20born%201990%29 | Wesley de Jesus Correia (born February 9, 1990 in Diadema), known as Lelê, is a Brazilian footballer who plays for Água Santa as forward.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Bahraini Premier League players
Coritiba Foot Ball Club players
Fortaleza Esporte Clube players
Rio Branco Sport Club players
Oeste Futebol Clube players
Santa Cruz Futebol Clube players
Ceará Sporting Club players
Botafogo Futebol Clube (SP) players
Clube Náutico Capibaribe players
Mirassol Futebol Clube players
Al-Muharraq SC players
América Futebol Clube (RN) players
ABC Futebol Clube players
Esporte Clube Água Santa players
Brazilian expatriate sportspeople in Bahrain
Expatriate men's footballers in Bahrain
Footballers from São Paulo (state)
People from Diadema |
https://en.wikipedia.org/wiki/WNBL%20records | The following shows a list of records held by certain players and teams in the Women's National Basketball League (WNBL). All statistics are as of 12 January, 2017.
Individual
Points
Most points, career
Highest points per game average, career
Most points, season
Highest points per game average, season
Rebounds
Most rebounds, career
Highest rebounds per game average, career
Most rebounds, season
Highest rebounds per game average, season
Assists
Most assists, career
Highest assists per game average, career
Most assists, season
Highest assists per game average, season
Steals
Most steals, career
Highest steals per game average, career
Most steals, season
Highest steals per game average, season
Blocks
Most blocks, career
Highest blocks per game average, career
Most blocks, season
Highest blocks per game average, season
See also
WNBL Statistical Leaders
List of WNBL awards
List of foreign WNBL players
External links
2016-17 WNBL Media Guide
WNBL Season-by-Season Guide
References
Records
Australian records
Basketball statistics |
https://en.wikipedia.org/wiki/Steffen%27s%20polyhedron | In geometry, Steffen's polyhedron is a flexible polyhedron discovered (in 1978) by and named after . It is based on the Bricard octahedron, but unlike the Bricard octahedron its surface does not cross itself. With nine vertices, 21 edges, and 14 triangular faces, it is the simplest possible non-crossing flexible polyhedron. Its faces can be decomposed into three subsets: two six-triangle-patches from a Bricard octahedron, and two more triangles (the central two triangles of the net shown in the illustration) that link these patches together.
It obeys the strong bellows conjecture, meaning that (like the Bricard octahedron on which it is based) its Dehn invariant stays constant as it flexes.
References
External links
Steffen's Polyhedron, Greg Egan
Nonconvex polyhedra
Mathematics of rigidity |
https://en.wikipedia.org/wiki/Surface%20fairing | In mathematics, Surface fairing is an aspect of mesh smoothing. The goal of surface fairing is to compute shapes that are as smooth as possible.
On an abstract level, mesh smoothing is concerned with the design and computation of smooth functions on a triangle mesh. Mesh fairing does not just slightly smooth the function in order to remove the high frequency noise. It also smooths the function as much as possible in order to obtain, e.g., an as-smooth-as-possible surface patch or an as-smooth-as-possible shape deformation.
How to actually measure smoothness or fairness obviously depends on the application, but in general fair surfaces should follow the principle of simplest shape: the surface should be free of any unnecessary details or oscillations. This can be modeled by a suitable energy that penalizes unaesthetic behavior of the surface. A minimization of this fairness energy—subject to user-defined constraints—eventually yields the desired shape. Example applications include the construction of smooth blend surfaces and hole filling by smooth patches.
References
Geometry processing |
https://en.wikipedia.org/wiki/Douglas%20Thomson%20%28footballer%29 | Douglas Thomson (born 10 August 1891) was a Scottish professional footballer who played as an inside forward.
Career statistics
References
1891 births
Footballers from Dundee
Scottish men's footballers
Men's association football inside forwards
Dundee Violet F.C. players
Dundee United F.C. players
Millwall F.C. players
Aberdeen F.C. players
Grimsby Town F.C. players
Dartford F.C. players
Scottish Junior Football Association players
Scottish Football League players
English Football League players
Year of death missing
People convicted of theft |
https://en.wikipedia.org/wiki/William%20Francis%20Pohl | William Francis Pohl (16 September 1937 – 9 December 1988) was an American mathematician, specializing in differential geometry and known for the Clifton–Pohl torus.
Pohl received from the University of Chicago his B.A in 1957 and his M.A.1958. He completed his Ph.D. at Berkeley in 1961 under the direction of Shiing-Shen Chern with dissertation Differential Geometry of Higher Order. His dissertation was published in 1962 in the journal Topology and has received over 120 citations in the mathematical literature. He was a member of the mathematics faculty at the University of Minnesota from September 1964 until his untimely death.
Pohl engaged in a famous controversy arguing against Francis Crick but, in view of additional empirical evidence, conceded about 1979 or 1980 that Crick was correct.
Pohl sang liturgical music in Catholic religious services and wrote an article in 1966 from which the journal Sacred Music published an excerpt in 2011.
William Pohl later married Hildegard Bastian (now Hildegard Pohl), and fathered 5 children, Annetta Pohl, Agatha Pohl, Agnes Pohl, Lawrence Pohl, and John Pohl.
Selected publications
with T. F. Banchoff:
with John Alvord Little:
with Nicolaas H. Kuiper:
References
20th-century American mathematicians
Differential geometers
Topologists
University of Chicago alumni
University of California, Berkeley alumni
University of Minnesota faculty
1937 births
1988 deaths |
https://en.wikipedia.org/wiki/5-Con%20triangles | In geometry, two triangles are said to be 5-Con or almost congruent if they are not congruent triangles but they are similar triangles and share two side lengths (of non-corresponding sides). The 5-Con triangles are important examples for understanding the solution of triangles. Indeed, knowing three angles and two sides (but not their sequence) is not enough to determine a triangle up to congruence. A triangle is said to be 5-Con capable if there is another triangle which is almost congruent to it.
The 5-Con triangles have been discussed by Pawley:, and later by Jones and Peterson. They are briefly mentioned by Martin Gardner in his book Mathematical Circus. Another reference is the following exercise
Explain how two triangles can have five parts (sides, angles) of one triangle congruent to five parts of the other triangle, but not be congruent triangles.
A similar exercise dates back to 1955, and there an earlier reference is mentioned. It is however not possible to date the first occurrence of such standard exercises about triangles.
Examples
There are infinitely many pairs of 5-Con triangles, even up to scaling.
The smallest 5-Con triangles with integer sides have side lengths (8; 12; 18) and (12; 18; 27). This is an example with obtuse triangles.
An example of acute 5-Con triangles is (1000; 1100; 1210) and (1100; 1210; 1331).
The 5-Con right triangles are exactly those obtained from scaling the pair and with where φ is the golden ratio. Consequently, these are Kepler triangles and there can be no right 5-Con triangles with integer sides.
There are no 5-Con triangles that are equilateral or isosceles because that would require m = 1 and the 5-Con triangles would be congruent.
There are no integer 5-Con triangles that are Heronian because the sides of integer 5-Con triangles are in a geometric progression.
Results
1. Consider 5-Con triangles with side lengths and where is the scaling factor, which we may suppose to be greater than . We may also suppose . Then we must have and . The two triples of side lengths are then of the form: Conversely, for any and , such triples are the side lengths for 5-Con triangles. (Supposing without loss of generality that , the greatest number in the first triple is and we only need to ensure ; the second triple is obtained from the first by scaling with . So we have two triangles: They are clearly similar and exactly two of the three side lengths coincide.) Some references work with instead, which leads to the inequalities .
2. Any 5-Con capable triangle has different side lengths and the middle one is the geometric mean of the other two. The ratio between the largest and the middle side length is then equal to that between the middle and the smallest side length. We can use both this ratio and its inverse for scaling and obtaining an almost congruent triangle.
3. To study the possible shapes of 5-Con triangles, we may restrict to studying the triangles with side lengths The greatest |
https://en.wikipedia.org/wiki/Plesiohedron | In geometry, a plesiohedron is a special kind of space-filling polyhedron, defined as the Voronoi cell of a symmetric Delone set.
Three-dimensional Euclidean space can be completely filled by copies of any one of these shapes, with no overlaps. The resulting honeycomb will have symmetries that take any copy of the plesiohedron to any other copy.
The plesiohedra include such well-known shapes as the cube, hexagonal prism, rhombic dodecahedron, and truncated octahedron.
The largest number of faces that a plesiohedron can have is 38.
Definition
A set of points in Euclidean space is a Delone set if there exists a number such that every two points of are at least at distance apart from each other and such that every point of space is within distance of at least one point in . So fills space, but its points never come too close to each other. For this to be true, must be infinite.
Additionally, the set is symmetric (in the sense needed to define a plesiohedron) if, for every two points and of , there exists a rigid motion of space that takes to and to . That is, the symmetries of act transitively on .
The Voronoi diagram of any set of points partitions space into regions called Voronoi cells that are nearer to one given point of than to any other. When is a Delone set, the Voronoi cell of each point in is a convex polyhedron. The faces of this polyhedron lie on the planes that perpendicularly bisect the line segments from to other nearby points of .
When is symmetric as well as being Delone, the Voronoi cells must all be congruent to each other, for the symmetries of must also be symmetries of the Voronoi diagram. In this case, the Voronoi diagram forms a honeycomb in which there is only a single prototile shape, the shape of these Voronoi cells. This shape is called a plesiohedron. The tiling generated in this way is isohedral, meaning that it not only has a single prototile ("monohedral") but also that any copy of this tile can be taken to any other copy by a symmetry of the tiling.
As with any space-filling polyhedron, the Dehn invariant of a plesiohedron is necessarily zero.
Examples
The plesiohedra include the five parallelohedra. These are polyhedra that can tile space in such a way that every tile is symmetric to every other tile by a translational symmetry, without rotation. Equivalently, they are the Voronoi cells of lattices, as these are the translationally-symmetric Delone sets. Plesiohedra are a special case of the stereohedra, the prototiles of isohedral tilings more generally. For this reason (and because Voronoi diagrams are also known as Dirichlet tesselations) they have also been called "Dirichlet stereohedra"
There are only finitely many combinatorial types of plesiohedron. Notable individual plesiohedra include:
The five parallelohedra: the cube (or more generally the parallelepiped), hexagonal prism, rhombic dodecahedron, elongated dodecahedron, and truncated octahedron.
The triangular prism, the proto |
https://en.wikipedia.org/wiki/Fluent%20%28mathematics%29 | A fluent is a time-varying quantity or variable. The term was used by Isaac Newton in his early calculus to describe his form of a function. The concept was introduced by Newton in 1665 and detailed in his mathematical treatise, Method of Fluxions. Newton described any variable that changed its value as a fluent – for example, the velocity of a ball thrown in the air. The derivative of a fluent is known as a fluxion, the main focus of Newton's calculus. A fluent can be found from its corresponding fluxion through integration.
See also
Method of Fluxions
History of calculus
Leibniz–Newton calculus controversy
Derivative
Newton's notation
Fluxion
References
Mathematical analysis
Differential calculus
History of calculus |
https://en.wikipedia.org/wiki/Franz%20Aurenhammer | Franz Aurenhammer (born September 25, 1957) is an Austrian computational geometer known for his research in computational geometry on Voronoi diagrams, straight skeletons, and related structures. He is a professor in the Institute for Theoretical Computer Science of Graz University of Technology.
Aurenhammer earned a diploma in technical mathematics from Graz University of Technology in 1982, and completed his doctorate there in 1984 and his habilitation in 1989. His doctoral dissertation was jointly supervised by Hermann Maurer and Herbert Edelsbrunner. He was on the faculty at Graz as an assistant professor from 1985 to 1989, and returned in 1992 as a full professor.
References
1957 births
Living people
Academic staff of the Graz University of Technology
Austrian computer scientists
Austrian mathematicians
Researchers in geometric algorithms |
https://en.wikipedia.org/wiki/Manuel%20Ugaz | Manuel Eduardo Tenchi Ugaz Nemotto (born June 21, 1981), known as Manuel Ugaz or simply Ugaz, is a Peruvian footballer who plays as right back.
Career statistics
References
External links
at BDFA.com.ar
1981 births
Living people
Peruvian men's footballers
Men's association football defenders
Peruvian Primera División players
Peruvian Segunda División players
Deportivo Coopsol players
Club Deportivo Universidad de San Martín de Porres players
Club Deportivo Universidad César Vallejo footballers
Juan Aurich footballers
León de Huánuco footballers
Cienciano footballers
Carlos A. Mannucci players
Cusco FC footballers
Deportivo Municipal footballers
Ayacucho FC footballers
Unión Huaral footballers
People from Trujillo, Peru |
https://en.wikipedia.org/wiki/Free%20factor%20complex | In mathematics, the free factor complex (sometimes also called the complex of free factors) is a free group counterpart of the notion of the curve complex of a finite type surface.
The free factor complex was originally introduced in a 1998 paper of Allen Hatcher and Karen Vogtmann. Like the curve complex, the free factor complex is known to be Gromov-hyperbolic. The free factor complex plays a significant role in the study of large-scale geometry of .
Formal definition
For a free group a proper free factor of is a subgroup such that and that there exists a subgroup such that .
Let be an integer and let be the free group of rank . The free factor complex for is a simplicial complex where:
(1) The 0-cells are the conjugacy classes in of proper free factors of , that is
(2) For , a -simplex in is a collection of distinct 0-cells such that there exist free factors of such that for , and that . [The assumption that these 0-cells are distinct implies that for ]. In particular, a 1-cell is a collection of two distinct 0-cells where are proper free factors of such that .
For the above definition produces a complex with no -cells of dimension . Therefore, is defined slightly differently. One still defines to be the set of conjugacy classes of proper free factors of ; (such free factors are necessarily infinite cyclic). Two distinct 0-simplices determine a 1-simplex in if and only if there exists a free basis of such that .
The complex has no -cells of dimension .
For the 1-skeleton is called the free factor graph for .
Main properties
For every integer the complex is connected, locally infinite, and has dimension . The complex is connected, locally infinite, and has dimension 1.
For , the graph is isomorphic to the Farey graph.
There is a natural action of on by simplicial automorphisms. For a k-simplex and one has .
For the complex has the homotopy type of a wedge of spheres of dimension .
For every integer , the free factor graph , equipped with the simplicial metric (where every edge has length 1), is a connected graph of infinite diameter.
For every integer , the free factor graph , equipped with the simplicial metric, is Gromov-hyperbolic. This result was originally established by Mladen Bestvina and Mark Feighn; see also for subsequent alternative proofs.
An element acts as a loxodromic isometry of if and only if is fully irreducible.
There exists a coarsely Lipschitz coarsely -equivariant coarsely surjective map , where is the free splittings complex. However, this map is not a quasi-isometry. The free splitting complex is also known to be Gromov-hyperbolic, as was proved by Handel and Mosher.
Similarly, there exists a natural coarsely Lipschitz coarsely -equivariant coarsely surjective map , where is the (volume-ones normalized) Culler–Vogtmann Outer space, equipped with the symmetric Lipschitz metric. The map takes a geodesic path in to a path in contained in a uniform Hausdorff |
https://en.wikipedia.org/wiki/Jackson%20%28footballer%2C%20born%20August%201990%29 | Jackson Fernando de Sousa (born 18 August 1990 in São José, Santa Catarina), known as Jackson, is a Brazilian footballer who plays for Camboriú as a midfielder.
Career statistics
References
External links
Jackson at ZeroZero
1990 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Figueirense FC players
ABC Futebol Clube players
Esporte Clube Santo André players
Ypiranga Futebol Clube players
River Atlético Clube players
Camboriú Futebol Clube players |
https://en.wikipedia.org/wiki/Stechkin%27s%20lemma | In mathematics – more specifically, in functional analysis and numerical analysis – Stechkin's lemma is a result about the ℓq norm of the tail of a sequence, when the whole sequence is known to have finite ℓp norm. Here, the term "tail" means those terms in the sequence that are not among the N largest terms, for an arbitrary natural number N. Stechkin's lemma is often useful when analysing best-N-term approximations to functions in a given basis of a function space. The result was originally proved by Stechkin in the case .
Statement of the lemma
Let and let be a countable index set. Let be any sequence indexed by , and for let be the indices of the largest terms of the sequence in absolute value. Then
where
.
Thus, Stechkin's lemma controls the ℓq norm of the tail of the sequence (and hence the ℓq norm of the difference between the sequence and its approximation using its largest terms) in terms of the ℓp norm of the full sequence and an rate of decay.
Proof of the lemma
W.l.o.g. we assume that the sequence is sorted by and we set for notation.
First, we reformulate the statement of the lemma to
Now, we notice that for
Using this, we can estimate
as well as
Also, we get by norm equivalence:
Putting all these ingredients together completes the proof.
References
See Section 2.1 and Footnote 5.
Functional analysis
Numerical analysis
Inequalities
Lemmas in analysis |
https://en.wikipedia.org/wiki/Bruno%20Zumbo | Bruno D. Zumbo is a Canadian mathematical scientist trained in the tradition of research that combines pure and applied mathematics with statistical and algorithmic techniques to develop theory and solve problems arising in measurement, testing, and surveys in the social, behavioral, and health sciences. He is currently Professor and Distinguished University Scholar, the Canada Research Chair in Psychometrics and Measurement (Tier 1), and the Paragon UBC Professor of Psychometrics & Measurement at University of British Columbia.
His research in the mathematical sciences reflects a wide range of research in mathematics and statistics aimed at developing and exploring the properties and applications of mathematical structures of measurement, survey design, testing, and assessment.
Education
He completed his B.Sc. at the University of Alberta (Edmonton, AB) and his MA and Ph.D. from Carleton University (Ottawa, ON). His doctoral dissertation titled "Statistical Methods to Overcome Nonindependence of Coupled Data in Significance Testing" was under the direction of Donald W. Zimmerman (Carleton University, Ottawa).
Career
Zumbo teaches in the graduate Measurement, Evaluation, & Research Methodology Program with an additional appointment in the Institute of Applied Mathematics, and earlier also in the Department of Statistics, at the University of British Columbia (UBC) in Vancouver, British Columbia, Canada. Prior to arriving at UBC in 2000, he held professorships in the Departments of Psychology and of Mathematics at the University of Northern British Columbia (1994-2000), and earlier in the Faculty of Education with an adjunct appointment in the Department of Mathematics at the University of Ottawa (1990-1994).
His research interests have been focused on the mathematical sciences of measurement and scientific methodology with a blend of mathematics, social sciences like psychology, philosophy of science and measurement in science.
He is known for his contributions in the fields of statistics, psychometrics, validity theory, and studies of the mathematical basis of classical test theory, item response theory, and measurement error models. His program of research is actively engaged in psychometrics for language testing, quality of life and wellbeing, and health and human development.
Awards and recognition
Distinguished University Scholar, 2017
Pioneer in the Psychometrics of Quality of Life, 2018 by the International Society for Quality of Life Studies
Centenary Medal of Distinction, awarded in 2019 by the UBC School of Nursing
Paragon UBC Professorship in Psychometrics and Measurement
Tier 1 - Canada Research Chair in Psychometrics and Measurement, held at the University of British Columbia, awarded in 2020
References
External links
List of publications
1966 births
Living people
Academic staff of the University of British Columbia
Canadian mathematicians
Carleton University alumni
University of Alberta alumni |
https://en.wikipedia.org/wiki/Andr%C3%A9%20Cunha%20%28Brazilian%20footballer%29 | André Gustavo Cunha (born April 8, 1979 in Araçatuba), known as André Cunha, is a Brazilian footballer who plays for Penapolense as right-back.
Career statistics
References
External links
1979 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série C players
Sociedade Esportiva Palmeiras players
Associação Atlética Ponte Preta players
Clube Atlético Penapolense players
Esporte Clube XV de Novembro (Piracicaba) players
Fortaleza Esporte Clube players
Clube de Regatas Brasil players |
https://en.wikipedia.org/wiki/Cedric%20McMillan | Cedric Kennan McMillan (August 17, 1977 – April 12, 2022) was an American IFBB professional bodybuilder and United States Army Instructor.
His last victory was the 2017 Arnold Classic.
Statistics
Offseason weight: 295 – 310 lbs (133.8 kg – 140.6 kg)
Precontest weight: 280 lbs
Height: 6’1” (185.42 cm)
Age: 44 years
Nationality: American
Early life and amateur career
As a child, McMillan took a real interest in muscular physiques and drew comic characters that had impressive physiques. His idol was 7x Mr. Olympia Arnold Schwarzenegger, who inspired him, especially after seeing Schwarzenegger in Conan The Barbarian. McMillan started training at thirteen after his mother bought him a weight set. It wasn’t long before he learned that he had good genetics for bodybuilding and a passion for the sport.
After high school, McMillan joined the US Army, moving to South Carolina. Not long after, his friend Mark Neil convinced him to enter his first bodybuilding competition. Neil helped McMillan gain a lot of size and learn more about bodybuilding. After Neil saw how McMillan's physique developed after just one month of training, he encouraged McMillan to compete in a bodybuilding show that was only four weeks away. During those four weeks before the competition, he grew from an initial weight of 195 lbs to 225 lbs, competing at 205 lbs. He entered the NPC South Carolina in 2007 and won the super heavyweight division.
Professional career
McMillan was a top open division bodybuilder with 8 Pro wins while placing top 5 in major competitions on several occasions. He earned his Pro card in 2009 and, since, had been in the conversation with the best open bodybuilders in the world.
His most notable victory was the 2017 Arnold Classic Ohio where he got to meet his idol, Arnold Schwarzenegger, earning praise from the former Mr. Olympia. His most recent competition was the 2020 Arnold Classic Ohio where he placed 6th.
Profile
McMillan was renowned for his aesthetic physique which stood out from the larger and blockier mass physiques that dominate the sport. At over 6'1', McMillan stood taller than most competitors and he chose to present a more aesthetic look which he often presented through highly choreographed posing to classical music that reminded many of the great bodybuilders from the 1980s – a real contrast to mass monsters like Ronnie Coleman or Jay Cutler.
With his combination of impressive size, height and aesthetic classic lines, McMillan achieved great success, particularly at the Arnold Classic. Indeed, the contrast between his pleasing physique and the larger mass monster look of other competitors such as Phil Heath led to calls by Arnold Schwarzenegger to rein in the waistlines of bodybuilders on the IFBB stage.
However, despite setting the bar for a newer, more appealing look in the sport, McMillan was generally considered to have underperformed at the Mr Olympia finals, which often rewards the largest, most muscular physiques, placing the tal |
https://en.wikipedia.org/wiki/Leandro%20Melo | Leandro Domingos de Melo (born March 11, 1986 in Tubarão), known as Leandro Melo, is a Brazilian footballer who plays for América RN as midfielder.
Career statistics
References
External links
1986 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Clube Atlético Metropolitano players
Clube Esportivo Bento Gonçalves players
Clube Náutico Marcílio Dias players
Oeste Futebol Clube players
Esporte Clube Juventude players
Esporte Clube São Bento players
América Futebol Clube (RN) players
People from Tubarão |
https://en.wikipedia.org/wiki/Jeanne%20Peiffer | Jeanne Peiffer (born 20 August 1948 in Mersch) is a Luxembourg historian of mathematics.
Contributions
She deals with scientific journals in the 17th and 18th centuries, also from a scientific sociological point of view and with the aspect of the history of the specialization of mathematics journals, with perspective in the Renaissance in connection with geometry and optics, and the letter as a communication tool of mathematics in the 18th century.
She was co-editor (with ) of the correspondence of Johann Bernoulli (Birkhäuser 1988, 1992) and published a French translation of the geometry of Albrecht Dürer. With Amy Dahan, she wrote a popular French-language textbook of mathematics, translated into English and German.
From 1995 to 2015 she was co-editor of the and co-editor of Historia Mathematica.
Education and career
Peiffer studied at the University of Luxembourg where she is a professor after being a student of René Taton. She is Emeritus Research Director at the CNRS and the Center Alexandre Koyré of the CNRS and the École des hautes études en sciences sociales (EHESS).
Publications
with Amy Dahan-Dalmédico: Une histoire des mathématiques, Routes et Dédales, éditions Études vivantes Québec, 1982, Éditions du Seuil, Paris, , 1986, 4th edition 2001
German translation: Wege und Irrwege – eine Geschichte der Mathematik, Birkhäuser 1994, Springer 2014
Herausgeberin und Übersetzerin: Albrecht Dürer, Géométrie, Ed. du Seuil 1995 (also translated into Spanish)
Faire des mathématiques par lettres, Revue d'histoire des mathématiques IV/1, 1998, pp. 143–157
with Jean-Pierre Vittu: Les journaux savants, formes de la communication et agents de la construction des savoirs (xviie – xviiie siècles), Dix-huitième siècle, volume 40, 2008, pp. 281–300.
Constructing perspective in sixteenth-century Nuremberg, in: Mario Carpo, Frédérique Lemerle (publisher), Perspective, Projections & Design. Technologies of Architectural Representation, London & New York : Routledge, 2007, pp. 65–76
References
External links
Jeanne Peiffer on Centre Alexandre-Koyré
Jeanne Peiffer on Babelio
Publications by Jeanne Peiffer on CAIRN
Jeanne Peiffer at l'Harmattan
Notice in English
1948 births
Living people
Historians of mathematics
Academic staff of the University of Luxembourg
20th-century Luxembourgian historians
21st-century Luxembourgian historians
Luxembourgian women historians
21st-century Luxembourgian women writers
20th-century Luxembourgian women writers
Research directors of the French National Centre for Scientific Research |
https://en.wikipedia.org/wiki/Alan%20Mota | Alan Girotto Mota (born September 12, 1986 in São Paulo), known as Alan Mota, is a Brazilian footballer who plays for Taubaté as midfielder.
Career statistics
References
External links
1986 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Esporte Clube Taubaté players
Mogi Mirim Esporte Clube players
Nacional Atlético Clube (SP) players
S.C. Beira-Mar players
Capivariano Futebol Clube players
América Futebol Clube (MG) players
Botafogo Futebol Clube (SP) players
Clube Atlético Taboão da Serra players
Clube Atlético Bragantino players
Marília Atlético Clube players
Grêmio Osasco Audax Esporte Clube players
Ituano FC players
Grêmio Barueri Futebol players
Footballers from São Paulo |
https://en.wikipedia.org/wiki/Planigon | In geometry, a planigon is a convex polygon that can fill the plane with only copies of itself (isotopic to the fundamental units of monohedral tessellations). In the Euclidean plane there are 3 regular planigons; equilateral triangle, squares, and regular hexagons; and 8 semiregular planigons; and 4 demiregular planigons which can tile the plane only with other planigons.
All angles of a planigon are whole divisors of 360°. Tilings are made by edge-to-edge connections by perpendicular bisectors of the edges of the original uniform lattice, or centroids along common edges (they coincide).
Tilings made from planigons can be seen as dual tilings to the regular, semiregular, and demiregular tilings of the plane by regular polygons.
History
In the 1987 book, Tilings and Patterns, Branko Grünbaum calls the vertex-uniform tilings Archimedean in parallel to the Archimedean solids. Their dual tilings are called Laves tilings in honor of crystallographer Fritz Laves. They're also called Shubnikov–Laves tilings after Shubnikov, Alekseĭ Vasilʹevich. John Conway calls the uniform duals Catalan tilings, in parallel to the Catalan solid polyhedra.
The Laves tilings have vertices at the centers of the regular polygons, and edges connecting centers of regular polygons that share an edge. The tiles of the Laves tilings are called planigons. This includes the 3 regular tiles (triangle, square and hexagon) and 8 irregular ones. Each vertex has edges evenly spaced around it. Three dimensional analogues of the planigons are called stereohedrons.
These tilings are listed by their face configuration, the number of faces at each vertex of a face. For example V4.8.8 (or V4.82) means isosceles triangle tiles with one corner with four triangles, and two corners containing eight triangles.
Construction
The Conway operation of dual interchanges faces and vertices. In Archimedean solids and k-uniform tilings alike, the new vertex coincides with the center of each regular face, or the centroid. In the Euclidean (plane) case; in order to make new faces around each original vertex, the centroids must be connected by new edges, each of which must intersect exactly one of the original edges. Since regular polygons have dihedral symmetry, we see that these new centroid-centroid edges must be perpendicular bisectors of the common original edges (e.g. the centroid lies on all edge perpendicular bisectors of a regular polygon). Thus, the edges of k-dual uniform tilings coincide with centroid-to-edge-midpoint line segments of all regular polygons in the k-uniform tilings.
Using the 12-5 Dodecagram (Above)
All 14 uniform usable regular vertex planigons also hail from the 6-5 dodecagram (where each segment subtends radians, or 150 degrees).
The incircle of this dodecagram demonstrates that all the 14 VRPs are cocyclic, as alternatively shown by circle packings. The ratio of the incircle to the circumcircle is:
and the convex hull is precisely the regular dodecagons in the k-un |
https://en.wikipedia.org/wiki/Truman%20Lee%20Kelley | Truman Lee Kelley (1884 – 1961) was an American researcher who made seminal contributions to statistics and psychology.
Life
He was born in Whitehall, Muskegon County, Michigan in 1884. He died in 1961.
Career
He received his A.M. degree in psychology from the University of Illinois in 1911, where he became one of the four founding students of Kappa Delta Pi. He completed his Ph.D. from Columbia University in 1914 under the supervision of Edward Thorndike. After doing so, he worked as an instructor at the University of Texas and at Teachers College, and then in 1920 became a professor at Stanford University. He moved to Harvard University in 1931, and retired in 1950.
Bibliography
His books include:
Statistical Method. New York: Macmillan (1923).
Interpretation of Educational Measurements (1927)
Crossroads in the Mind of Man (1928)
Scientific Method; Its Function in Research and in Education (1929)
Tests and Measurements in the Social Sciences (coauthor, 1934)
Essential Traits of Mental Life (1935)
The Kelley's Statistical Tables (1938; 2nd ed., 1948)
Fundamentals of Statistics (1947)
References
American statisticians
1884 births
1961 deaths
University of Illinois Urbana-Champaign alumni
Columbia University alumni
Stanford University faculty
Harvard University faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Stereohedron | In geometry and crystallography, a stereohedron is a convex polyhedron that fills space isohedrally, meaning that the symmetries of the tiling take any copy of the stereohedron to any other copy.
Two-dimensional analogues to the stereohedra are called planigons. Higher dimensional polytopes can also be stereohedra, while they would more accurately be called stereotopes.
Plesiohedra
A subset of stereohedra are called plesiohedrons, defined as the Voronoi cells of a symmetric Delone set.
Parallelohedrons are plesiohedra which are space-filling by translation only. Edges here are colored as parallel vectors.
Other periodic stereohedra
The catoptric tessellation contain stereohedra cells. Dihedral angles are integer divisors of 180°, and are colored by their order. The first three are the fundamental domains of , , and symmetry, represented by Coxeter-Dynkin diagrams: , and . is a half symmetry of , and is a quarter symmetry.
Any space-filling stereohedra with symmetry elements can be dissected into smaller identical cells which are also stereohedra. The name modifiers below, half, quarter, and eighth represent such dissections.
Other convex polyhedra that are stereohedra but not parallelohedra nor plesiohedra include the gyrobifastigium.
References
B. N. Delone, N. N. Sandakova, Theory of stereohedra Trudy Mat. Inst. Steklov., 64 (1961) pp. 28–51 (Russian)
Goldberg, Michael Three Infinite Families of Tetrahedral Space-Fillers Journal of Combinatorial Theory A, 16, pp. 348–354, 1974.
Goldberg, Michael The space-filling pentahedra, Journal of Combinatorial Theory, Series A Volume 13, Issue 3, November 1972, Pages 437-443 PDF
Goldberg, Michael The Space-filling Pentahedra II, Journal of Combinatorial Theory 17 (1974), 375–378. PDF
Goldberg, Michael On the space-filling hexahedra Geom. Dedicata, June 1977, Volume 6, Issue 1, pp 99–108 PDF
Goldberg, Michael On the space-filling heptahedra Geometriae Dedicata, June 1978, Volume 7, Issue 2, pp 175–184 PDF
Goldberg, Michael Convex Polyhedral Space-Fillers of More than Twelve Faces. Geom. Dedicata 8, 491-500, 1979.
Goldberg, Michael On the space-filling octahedra, Geometriae Dedicata, January 1981, Volume 10, Issue 1, pp 323–335 PDF
Goldberg, Michael On the Space-filling Decahedra. Structural Topology, 1982, num. Type 10-II PDF
Goldberg, Michael On the space-filling enneahedra Geometriae Dedicata, June 1982, Volume 12, Issue 3, pp 297–306 PDF
Space-filling polyhedra |
https://en.wikipedia.org/wiki/Viktor%20Ginzburg | Viktor L. Ginzburg is a Russian-American mathematician who has worked on Hamiltonian dynamics and symplectic and Poisson geometry. As of 2017, Ginzburg is Professor of Mathematics at the University of California, Santa Cruz.
Education
Ginzburg completed his Ph.D. at the University of California, Berkeley in 1990; his dissertation, On closed characteristics of 2-forms, was written under the supervision of Alan Weinstein.
Research
Ginzburg is best known for his work on the Conley conjecture, which asserts the existence of infinitely many periodic points for Hamiltonian diffeomorphisms in many cases, and for his counterexample (joint with Başak Gürel) to the Hamiltonian Seifert conjecture which constructs a Hamiltonian with an energy level with no periodic trajectories.
Some of his other works concern coisotropic intersection theory, and Poisson–Lie groups.
Awards
Ginzburg was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions to Hamiltonian dynamical systems and symplectic topology and in particular studies into the existence and non-existence of periodic orbits".
References
External links
Living people
1962 births
20th-century Russian mathematicians
21st-century Russian mathematicians
University of California, Santa Cruz faculty
University of California, Berkeley alumni
20th-century American mathematicians
21st-century American mathematicians
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/J%C3%BAnior%20Alves%20%28footballer%2C%20born%201990%29 | José Teixeira Alves Júnior (born March 26, 1990 in São Paulo), known as Júnior Alves, is a Brazilian footballer who plays for São Caetano as defender.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série D players
Associação Desportiva São Caetano players
São Bernardo Futebol Clube players
Paulista Futebol Clube players
Mirassol Futebol Clube players
Footballers from São Paulo |
https://en.wikipedia.org/wiki/Jord%C3%A3 | Jordã Lima Rodrigues (born August 10, 1983, in Salvador), simply known as Jordã, is a Brazilian footballer who plays for URT as midfielder.
Career statistics
References
External links
1983 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série C players
Clube Atlético Linense players
Brasiliense FC players
Clube Atlético Votuporanguense players
Comercial Futebol Clube (Ribeirão Preto) players
União Recreativa dos Trabalhadores players
Uberlândia Esporte Clube players
Footballers from Salvador, Bahia |
https://en.wikipedia.org/wiki/Alexandre%20Silva%20%28footballer%29 | Alexandre Duarte Silva (born November 7, 1983 in São Paulo), known as Alexandre Silva, is a Brazilian footballer who plays as defender.
Career statistics
References
External links
1983 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série C players
Santa Cruz Futebol Clube players
Clube Atlético Linense players
Uberaba Sport Club players
São José Esporte Clube players
Iraty Sport Club players
Mogi Mirim Esporte Clube players
Anápolis Futebol Clube players
Footballers from São Paulo |
https://en.wikipedia.org/wiki/Imre%20T%C3%B3th%20%28philosopher%29 | Imre Tóth (also Toth), born in 1921, was a philosopher, mathematician and science historian, who specialized in the philosophy of mathematics. He worked on non-Euclidean geometry, mathematical irrationality, freedom, Plato and Platonism, Aristotle, Spinoza, Kant, and Hege. He was born in Satu Mare, the year after the Treaty of Trianon recognized it as a part of Romania, to a very religious Jewish family that had fled from the 1920 pogroms. Resisting with the Communists during the Second World War and then excluded from the Party, he narrowly escaped death in the camps. After the war he studied at Babeș-Bolyai University. He died on May 11, 2010, in Paris.
Biography
Tóth was the son of an official of the Habsburg army who had fought in Italy during the World War I with the twelfth Imperial-Royal Horse Artillery Regiment. His father's name was Abraham Roth, but Imre falsified his own documents, choosing "Toth" as a contrivance to escape anti-Jewish persecution, certain as he was that Roth would soon be recognised as a typically Jewish name.
He studied at a Roman Catholic high school, where he found no answer to his doubts about mathematical issues, according to him because of teachers either incompetent or hardly inclined to discuss the truly problematic aspects of those issues. This inclination of his towards such problems apparently explains why he became interested in philosophy, an interest which was to be later fostered by his father's decision to send him to the theological rabbinical seminary in Frankfurt, in order that the young scholar could so have access to the Institute's rich philosophical library. Subsequently, Imre enrolled at the King Ferdinand I University in Cluj; the teaching work of some outstanding faculty members seems to have at this stage reawakened his strong interest in mathematics.
With the World War II Imre Tóth's family was displaced, but his father had beforehand grouped together quite a few of his family's philosophical works, including the Critique of Pure Reason of Immanuel Kant, the Ethica of Baruch Spinoza, and some works by Denis Diderot and Friedrich Nietzsche. Finally, he left a letter asking that the books were not captured.
In 1940 Imre entered the underground resistance movement to the Nazis, joining a communist group: for these activities (in particular, for writing on a wall Down with fascism, down with the war, death to fascists) he was arrested and, after interrogation and torture, sentenced to death. He managed somehow to serve a mere six years in prison, and was joined there by news of the successful Operation Overlord (the Normandy landings of the Allies) on June 6, 1944, just as his deportation to Auschwitz along with the group of remaining Jewish inmates of that prison was practically underway.
During his last period of imprisonment he was injured by a guard, and hospitalized; he was forced for a while to walk with crutches. Soon did he recover, but his gait was to remain hindered for life.
|
https://en.wikipedia.org/wiki/Ernest%20Harvey%20%28footballer%29 | Ernest Alfred Harvey was an English professional footballer who played as a right back in the Football League for Glossop.
Career statistics
References
English men's footballers
English Football League players
Southern Football League players
1883 births
Year of death missing
Footballers from Chesterfield
Men's association football fullbacks
Gillingham F.C. players
Glossop North End A.F.C. players
Hyde United F.C. players |
https://en.wikipedia.org/wiki/Ricardo%20Concei%C3%A7%C3%A3o | Ricardo Renato de Conceição (born July 16, 1984), known as Ricardo Conceição, is a Brazilian footballer who plays for Atlético Tubarão as midfielder.
Career statistics
References
External links
1984 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Associação Atlética Ponte Preta players
Esporte Clube Santo André players
Esporte Clube Vitória players
Associação Desportiva São Caetano players
Comercial Futebol Clube (Ribeirão Preto) players
Paraná Clube players
Associação Chapecoense de Futebol players
Ceará Sporting Club players
Clube Atlético Tubarão players
Footballers from Campinas |
https://en.wikipedia.org/wiki/Paulinho%20%28footballer%2C%20born%205%20May%201988%29 | Paulo Oliveira de Souza Júnior (born 5 May 1988 in Belém), known as Paulinho, is a Brazilian footballer who plays for Brasil de Pelotas on loan from Marcílio Dias as left back.
Career statistics
Honours
Londrina
Campeonato Paranaense: 2014
CSA
Campeonato Alagoano: 2018
References
External links
1988 births
Living people
Footballers from Belém
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Tuna Luso Brasileira players
Esporte Clube Juventude players
Murici Futebol Clube players
Centro Sportivo Alagoano players
Associação Atlética Coruripe players
Botafogo Futebol Clube (SP) players
Clube do Remo players
Grêmio Barueri Futebol players
Londrina Esporte Clube players
Paraná Clube players
Goiás Esporte Clube players
Clube Náutico Marcílio Dias players
Avaí FC players |
https://en.wikipedia.org/wiki/Margaret%20T.%20May | Margaret T. May is Professor of Medical Statistics at the University of Bristol, and specialises in prognostic modelling and HIV epidemiology.
May has a master's degree from the University of Cambridge, and a master's degree and PhD from the University of Bristol.
Selected publications
May, M, Gompels, M & Sabin, C, 2010, ‘Impact on life expectancy of late diagnosis and treatment of HIV-1 infected individuals: UK CHIC’. in: Tenth International Congress on Drug Therapy in HIV Infection Glasgow, UK.
May, M, Boulle, A, Phiri, S, Messou, E, Myer, L, Wood, R, Keiser, O, Sterne, J, Dabis, F & Egger, M, 2010, ‘Prognosis of patients with HIV-1 infection starting antiretroviral therapy in sub-Saharan Africa: a collaborative analysis of scale-up programmes’. The Lancet, vol 376., pp. 449 – 457
Ingle, S, Fairall, L, Timmerman, V, Bachmann, M, Sterne, JAC, Egger, M, May, M & Southern, AI-, 2010, ‘Competing Risks Analysis of Pre-Treatment Mortality and Probability of Starting ART in Patients Enrolled in the Free State ARV Program, South Africa’. in: Abstract 7, 14th International Workshop on HIV, Sitges, Spain., pp. 5 – 6
May, M, Emond, A & Crawley, E, 2010, ‘Phenotypes of Chronic Fatigue Syndrome in Children and Young People’. Archives of Disease in Childhood, vol 95., pp. 245 – 249
Sterne, J, May, M, Costagliola, D, Wolf, Fd, Phillips, A, Harris, R, Funk, M, Geskus, R, Gill, J, Dabis, F, Miro, J, Justice, A, Ledergerber, B, Fatkenheuer, G, Hogg, R, Monforte, Ad, Saag, M, Smith, C, Staszewski, S, Egger, M, Cole, S & , 2009, ‘Timing of initiation of antiretroviral therapy in AIDS-free HIV-1-infected patients: a collaborative analysis of 18 HIV cohort studies’. The Lancet, vol 373., pp. 1352 – 1363
Taffe, P & May, M, 2008, ‘A joint back calculation model for the imputation of the date of HIV infection in a prevalent cohort’. Stat Med, vol 27 (23)., pp. 4835 – 4853
Ebrahim, S, May, M, McCarron, P, Frankel, S, Smith, GD & Yarnell, J, 2001, ‘Sexual intercourse and risk of ischaemic stroke and coronary heart disease: the Caerphilly study’. in: Societies, Individuals and Populations - Joint conference of the Society for Social Medicine and the International Epidemiological Association European Group, Oxford.
Bleiber, G, May, M, Martinez, R, Meylan, P, Ott, J, Beckmann, J, Telenti, A & Cohort, StSH, 2005, ‘Use of a combined ex vivo/in vivo population approach for screening of human genes involved in the human immunodeficiency virus type 1 life cycle for variants influencing disease progression’. Journal of Virology, vol 79 (20)., pp. 12674 – 12680
Gill, J, May, M, Lewden, C, Saag, M, Mugavero, M, Reiss, P, Ledergerber, B, Mocroft, A, Harris, R, Fux, C, Justice, A, Costagliola, D, Casabona, J, Hogg, R, Khaykin, P, Lampe, F, Vehreschild, J & Sterne, J, 2010, ‘Causes of death in HIV-1 infected patients treated with antiretroviral therapy 1996-2006: collaborative analysis of 13 HIV cohort studies’. Clinical Infectious Diseases, vol 50., pp. 1387 – 1396
References
Ac |
https://en.wikipedia.org/wiki/Numerical%20dispersion | In computational mathematics, numerical dispersion is a difficulty with computer simulations of continua (such as fluids) wherein the simulated medium exhibits a higher dispersivity than the true medium. This phenomenon can be particularly egregious when the system should not be dispersive at all, for example a fluid acquiring some spurious dispersion in a numerical model.
It occurs whenever the dispersion relation for the finite difference approximation is nonlinear. For these reasons, it is often seen as a numerical error.
Numerical dispersion is often identified, linked and compared with numerical diffusion, another artifact of similar origin.
Explanation
In simulations, time and space are divided into discrete grids and the continuous differential equations of motion (such as the Navier–Stokes equation) are discretized into finite-difference equations; these discrete equations are in general unidentical to the original differential equations, so the simulated system behaves differently than the intended physical system. The amount and character of the difference depends on the system being simulated and the type of discretization that is used.
See also
Numerical diffusion
Von Neumann stability analysis
References
dispersion
Numerical differential equations |
https://en.wikipedia.org/wiki/Carolyn%20A.%20Maher | Carolyn A. Maher has been an elementary school teacher, professor of mathematics at Rutgers University, and editor of The Journal of Mathematical Behavior. She founded and is the director of Robert B. Davis Institute for Learning Editor and founded the Video Mosaic Collaborative.
Maher received an Ed.D. (1972), M.Ed. (1965) and B.A. (1962) from Rutgers University with a major in Mathematics Education and a minor in Statistics. She received the 2022 National Council of Teachers of Mathematics (NCTM) Lifetime Achievement Award.
References
Year of birth missing (living people)
Living people
Rutgers University alumni
Rutgers University faculty
American mathematicians |
https://en.wikipedia.org/wiki/Alan%20E.%20Gelfand | Alan Enoch Gelfand (born April 17, 1945) is an American statistician, and is currently the James B. Duke Professor of Statistics and Decision Sciences at Duke University. Gelfand’s research includes substantial contributions to the fields of Bayesian statistics, spatial statistics and hierarchical modeling.
Education and career
Gelfand was born in Bronx, New York. After graduating from the public school system at the young age of 16, Gelfand attended the City College of New York as an undergraduate where he excelled in mathematics. Gelfand’s matriculation to graduate school symbolized both a physical and educational transition as he moved cross-country to attend Stanford University and pursue a Ph.D. in Statistics. He finished his dissertation in 1969 on seriation methods (chronological sequencing) under the direction of Herbert Solomon.
Gelfand accepted an offer from the University of Connecticut where he spent 33 years as a professor. In 2002, he moved to Duke University as the James B. Duke Professor of Statistics and Decision Sciences.
In 2015, his department threw a birthday conference April 19-22 in Durham, North Carolina that included eminent speakers such as Adrian F. M. Smith.
Research
Gelfand and Smith (1990)
After attending a short course taught by Adrian Smith at Bowling Green State University, Gelfand decided to take a sabbatical to Nottingham, UK with the intention of working on using numerical methods to solve empirical Bayes problems. After studying Tanner and Wong (1987) and being hinted as to its connection to Geman and Geman (1984) by David Clayton, Gelfand was able to realize the computational value of replacing expensive numerical techniques with Monte Carlo sampling-based methods in Bayesian inference. Published as Gelfand and Smith (1990), Gelfand described how the Gibbs sampler can be used for Bayesian inference in a computationally efficient manner. Since its publication, the general methods described in Gelfand and Smith (1990) has revolutionized data analysis allowing previously intractable problems to now be tractable. To date, the paper has been cited over 7500 times.
Contributions to spatial statistics
In 1994, Gelfand was presented with a dataset that he had previously not encountered: scallop catches on the Atlantic Ocean. Intrigued by the challenges associated with analyzing data with structured spatial correlation, Gelfand, along with colleagues Sudipto Banerjee and Bradley P. Carlin, created an inferential paradigm for analyzing spatial data. Gelfand’s contributions to spatial statistics include spatially-varying coefficient models, linear models of coregionalization for multivariate spatial processes, predictive processes for analysis of large spatial data and non-parametric approaches to the analysis of spatial data. Gelfand's research in spatial statistics spans application areas of ecology, disease and the environment.
Awards and recognitions
Elected Fellow of the American Statistical Association |
https://en.wikipedia.org/wiki/L%C3%A9o%20Jaime%20%28footballer%29 | Léo Jaime da Silva Pinheiro (born March 23, 1986 in Fortaleza), known as Léo Jaime, is a Brazilian footballer who plays for São Bernardo as forward.
Career statistics
References
External links
1986 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
K League 2 players
Ferroviário Atlético Clube (CE) players
Fortaleza Esporte Clube players
Clube Atlético Bragantino players
Daegu FC players
Associação Desportiva São Caetano players
Sociedade Esportiva e Recreativa Caxias do Sul players
Horizonte Futebol Clube players
Associação Ferroviária de Esportes players
São Bernardo Futebol Clube players
Brazilian expatriate sportspeople in South Korea
Expatriate men's footballers in South Korea
Footballers from Fortaleza |
https://en.wikipedia.org/wiki/Jean%20Pablo | Jean Pablo Mazaro (born August 26, 1988 in Descalvado), known as Jean Pablo, is a Brazilian footballer who plays for XV de Novembro as defender.
Career statistics
References
External links
1988 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série D players
Ituano FC players
Clube Atlético Bragantino players
Clube Atlético Votuporanguense players
Rio Claro Futebol Clube players
Toledo Esporte Clube players
People from Descalvado
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/Ricardo%20Oliveira%20%28footballer%2C%20born%201982%29 | Ricardo Oliveira dos Santos (born November 3, 1982 in Presidente Epitácio), known as Ricardo Oliveira, is a Brazilian footballer who plays as midfielder.
Career statistics
References
External links
1982 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série C players
Grêmio Catanduvense de Futebol players
Guarani FC players |
https://en.wikipedia.org/wiki/%C3%89dgar%20Zald%C3%ADvar | Edgar Zaldívar Valverde (born 17 October 1996), also known as Gary, is a Mexican professional footballer who plays as a defensive midfielder for Liga MX club Atlas.
Career statistics
Club
Honours
Atlas
Liga MX: Apertura 2021, Clausura 2022
Campeón de Campeones: 2022
References
1996 births
Living people
Men's association football midfielders
Atlas F.C. footballers
Liga MX players
Liga Premier de México players
Tercera División de México players
Footballers from San Luis Potosí
Sportspeople from San Luis Potosí City
Mexican men's footballers |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.