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https://en.wikipedia.org/wiki/Heinz%20Hopf%20Prize | The Heinz Hopf Prize is awarded every two years at ETH Zurich. The prize honours outstanding scientific work in the field of pure mathematics. It is named after the German mathematician Heinz Hopf (1894–1971), Professor of Mathematics at ETH from 1931 to 1965. The prize amount of 30,000 Swiss Francs (approximately US$29,000, €20,000, or £18,200 ) is awarded on the occasion of the Heinz Hopf Lectures that are given at ETH by the laureate.
The prize was awarded for the first time in October 2009.
Laureates
See also
List of mathematics awards
References
External links
Mathematics awards
Swiss awards
Awards established in 2008 |
https://en.wikipedia.org/wiki/Rochester%2C%20Alberta | Rochester is a hamlet in northern Alberta, Canada within Athabasca County. It is east of Highway 2, north of Edmonton.
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Rochester had a population of 72 living in 42 of its 59 total private dwellings, a change of from its 2016 population of 79. With a land area of , it had a population density of in 2021.
As a designated place in the 2016 Census of Population conducted by Statistics Canada, Rochester had a population of 79 living in 38 of its 45 total private dwellings, a change of from its 2011 population of 101. With a land area of , it had a population density of in 2016.
See also
List of communities in Alberta
List of designated places in Alberta
List of hamlets in Alberta
References
Athabasca County
Hamlets in Alberta
Designated places in Alberta |
https://en.wikipedia.org/wiki/List%20of%20RCD%20Espanyol%20records%20and%20statistics | Reial Club Deportiu Espanyol de Barcelona is a Spanish association football club based in Barcelona. This list encompasses honours won by Espanyol and records set by the club and their players.
Statistics
Statistics in La Liga
Seasons in La Liga: 85
Best position in La Liga: 3 (2 times)
Worst position in La Liga: 20 (2019–20)
Most goals scored in a season: 82 (1950–51)
Most goals scored in a match: Espanyol 8 – Real Sociedad 0 (1941–42)
Most goals conceded in a match: Athletic Bilbao 9 – Espanyol 0 (1928–29)
Overall seasons table in La Liga
{|class="wikitable"
|-bgcolor="#efefef"
! Pos.
! Club
! Season In D1
! Pl.
! W
! D
! L
! GS
! GA
! Dif.
! Pts
!Champion
!2nd place
!3rd place
!4th place
|-
|align=center|7
|Espanyol
|align=center|85
|align=center|2740
|align=center|979
|align=center|642
|align=center|1119
|align=center|3720
|align=center|4034
|align=center|-314
|align=center|2919
| align=center bgcolor=gold| 0
| align=center bgcolor=silver| 0
| align=center bgcolor=bronze| 4
| align=center | 5
|}
Last updated: 1 September 2020
Pos. = Position; Pl = Match played; W = Win; D = Draw; L = Lost; GS = Goals Scored; GA = Goals against; P = Points.
Colors: Gold = winner; Silver = runner-up.
General statistics
All-time top scorer: Raúl Tamudo with 140 goals
Most Appearances: Raúl Tamudo with 389 matches
Player who has won most titles: José Prat, David García, Alberto Lopo, Mauricio Pochettino and Raúl Tamudo with 2 titles
Milestone goals in La Liga
Goalscoring records
Domestic league goals
Zamora Winners
References
Records And Statistics
Espanyol
Records |
https://en.wikipedia.org/wiki/Yoram%20Bauman | Yoram Keyes Bauman (born November 19, 1973) is an American economist and stand-up comedian.
History
Bauman grew up in San Francisco. He received an undergraduate degree in mathematics at Reed College in Portland, Oregon. In 2003, Bauman attended graduate school at the University of Washington in Seattle, Washington, where he obtained a Ph.D. in Economics.
Bauman is an environmental economist. He works as a professor at the University of Washington, in the Program on the Environment, Bainbridge Graduate School, and Lakeside School. He is the co-author of the 1998 book Tax Shift which advocates switching taxation from income and property to resource consumption.
Bauman bills himself as the "world's first and only stand-up economist." His video Principles of Economics, translated has more than 1 million views on YouTube.
Political activism
Bauman is a strong supporter of a carbon tax, in particular, a revenue-neutral carbon tax. He started an organization called CarbonWA which gathered signatures to put a revenue-neutral carbon tax on the ballot for the Washington elections, 2016. This initiative, known as Washington Initiative 732, would have imposed a steadily increasing tax on emissions of carbon dioxide, and used the revenue to offset other taxes. Washington relies on a sales tax for much of its revenue, making its state tax code one of the most regressive tax codes in the nation. Had it passed, its supporters asserted that it would have decreased the sales tax, eliminated the business and occupation tax on manufacturing, and expanded the state's earned-income tax credit for low-income households.
Selected publications
The Cartoon Introduction to Economics, Volume 1: Microeconomics (with Grady Klein)
The Cartoon Introduction to Economics, Volume 2: Macroeconomics (with Grady Klein)
Stand-Up Economics: The Micro Textbook
Tax Shift (with Alan Durning)
The Cartoon Introduction to Climate Change (with Grady Klein)
The Cartoon Introduction to Calculus (with Grady Klein)
References
External links
Yoram Bauman's website
1973 births
Living people
Economists from California
Environmental economists
American male comedians
Reed College alumni
University of Washington College of Arts and Sciences alumni
Academics from San Francisco
Comedians from California
21st-century American economists
21st-century American comedians
University of Washington faculty |
https://en.wikipedia.org/wiki/Joseph-Alphonse-Paul%20Cadotte |
Joseph-Alphonse-Paul Cadotte was a professor of mathematics, industrial engineering, industrial design at the École Polytechnique de Montréal, where he had achieved distinctions as a student.
Paul Cadotte also served as an Education Officer with the Royal Canadian Air Force. and authored several textbooks in applied industrial algebra and calculus.
Life
He was born in Montreal on December 12, 1897. He was the son of Alfred Cadotte, merchant-tailor, and Dorilda Coutu, his wife, daughter of A. Coutu, of Saint-Gabriel de Brandon.
Paul Cadotte attended primary school at the Jardin de l'Enfance, and took science courses at the Collège Mont-Saint-Louis :fr:Collège Mont-Saint-Louis, a private secondary school. Paul Cadotte attended l'École Polytechnique de Montréal for two years before finishing his studies at the École Technique, where he distinguished himself by completing in only one year, a complete course on industrial engineering where the majority of his work was published in the school's academic journal (les annales de l'École), and by winning the gold medal from the provincial government bestowed upon the most deserving student. Paul Cadotte graduated with high distinction in 1919.
During the same year, he was appointed regular professor in mathematics, industrial engineering and industrial design at the École Technique. Although relatively young, he was nonetheless considered an authority on technical education.
He was absorbed in his work and devoted almost exclusively to the education of his many students. He was considered an attractive man of athletic build and was adept in several sports - indoor and outdoor. He most excelled in fitness, tennis, swimming and billiards. He was a key player in developing and promoting the game of tennis among French-Canadians. As a lifetime member of the l'Association Athlétique National , he endeavoured greatly in making the Association an important institution in Canada.
On June 10, 1925, Paul Cadotte married Albertine Dufresne, daughter of F.-X. Dufresne from Montreal. Together they had one son, Pierre M. Cadotte. They resided at 4918 rue Adam in Montreal.
Later in life, he married Seraphine Benoit of Grand Bay, Dominica where they met. He later moved to Charlottetown, Prince Edward Island, Canada with Seraphine, where he resided until his death. They had one son.
Academic Contributions and Works
Astute in mathematics, Paul Cadotte, represented École Technique at the First Canadian Mathematical Congress in 1945
Paul Cadotte also presented a paper to the Royal Commission on Education (also known as the Parent Commission) on behalf of the l'école polytechnique de Montréal
Paul Cadotte was the author of several mathematic textbooks including:
"Initiation au calcul différentiel et intégral avec applications industrielles. Exercices"
J.-A.-Paul(Jean-Alphonse)Cadotte. Réimpr. juil. 1961 -- Montréal
J.-A.(Jean-Alphonse)-Paul Cadotte. 1949. Montréal.
Théorie / par J.-A. (Jean-Alphonse)-Pa |
https://en.wikipedia.org/wiki/Murray%20Rosenblatt | Murray Rosenblatt (September 7, 1926 – October 9, 2019) was a statistician specializing in time series analysis who was a professor of
mathematics at the University of California, San Diego. He received his Ph.D. at Cornell University.
He was also a recipient of a Guggenheim Fellowship, in 1965, and was a member of the National Academy of Sciences. He wrote about 140 research articles, 4 books, and co-edited 6 books.
Education and career
Rosenblatt was born in New York City and went to City College of New York. He completed his PhD in 1949 under the direction of Mark Kac at Cornell University. He became an instructor/assistant professor in the Committee of Statistics at the University of Chicago. He was at the Indiana University, and Brown University before his joining the University of California at San Diego in 1964. He became well known for his contributions on time series and Markov processes. He conducted seminal work on density estimation, central limit theorems under strong mixing, spectral domain methods and long memory processes.
Awards and honors
In addition to being a fellow of the Institute of Mathematical Statistics and American Association for the Advancement of Science, he was a Guggenheim fellow (1965–1966, 1971–1972) and was elected to the National Academy of Sciences in 1984. In 2013 he became a fellow of the American Mathematical Society, for "contributions to probability and statistics".
Death
Rosenblatt died on October 9, 2019.
Books
Rosenblatt, M. Errett Bishop: Reflections on Him and His Researches on Foundations and Function Algebras. American Mathematical Society.
Rosenblatt, M. Gaussian and Non-Gaussian Linear Time Series and Random Fields. Springer Verlag. .
Rosenblatt, M. Markov Processes: Structure and Asymptotic Behavior Springer Verlag. .
Brillinger D. R., Caines P., Geweke J., Rosenblatt M., Taqqu M. S. New Directions in Time Series Analysis. Springer, .
Rosenblatt, M. Random Processes (Graduate Texts in Mathematics) Springer Verlag, .
Rosenblatt, M. Stationary Sequences and Random Fields Birkhauser, .
Grenander Ulf, Rosenblatt M. Statistical Analysis of Stationary Time Series American Mathematical Society, .
Rosenblatt, M. Stochastic Curve Estimation Institute of Mathematical Statistic, .
Rosenblatt, M. Studies in Probability Theory Mathematical Association of America, .
References
External links
20th-century American mathematicians
21st-century American mathematicians
1926 births
New York University alumni
University of California, San Diego faculty
Fellows of the Society for Industrial and Applied Mathematics
2019 deaths
Members of the United States National Academy of Sciences
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Idealizer | In abstract algebra, the idealizer of a subsemigroup T of a semigroup S is the largest subsemigroup of S in which T is an ideal. Such an idealizer is given by
In ring theory, if A is an additive subgroup of a ring R, then (defined in the multiplicative semigroup of R) is the largest subring of R in which A is a two-sided ideal.
In Lie algebra, if L is a Lie ring (or Lie algebra) with Lie product [x,y], and S is an additive subgroup of L, then the set
is classically called the normalizer of S, however it is apparent that this set is actually the Lie ring equivalent of the idealizer. It is not necessary to specify that [S,r] ⊆ S, because anticommutativity of the Lie product causes [s,r] = −[r,s] ∈ S. The Lie "normalizer" of S is the largest subring of L in which S is a Lie ideal.
Comments
Often, when right or left ideals are the additive subgroups of R of interest, the idealizer is defined more simply by taking advantage of the fact that multiplication by ring elements is already absorbed on one side. Explicitly,
if T is a right ideal, or
if L is a left ideal.
In commutative algebra, the idealizer is related to a more general construction. Given a commutative ring R, and given two subsets A and B of a right R-module M, the conductor or transporter is given by
.
In terms of this conductor notation, an additive subgroup B of R has idealizer
.
When A and B are ideals of R, the conductor is part of the structure of the residuated lattice of ideals of R.
Examples
The multiplier algebra M(A) of a C*-algebra A is isomorphic to the idealizer of π(A) where π is any faithful nondegenerate representation of A on a Hilbert space H.
Notes
References
Abstract algebra
Group theory
Ring theory |
https://en.wikipedia.org/wiki/Kim%20Kwang-min%20%28footballer%2C%20born%201985%29 | Kim Kwang-min (; born 25 December 1985) is a South Korean football defender, who plays for Duhok SC in Iraqi Premier League.
Club statistics
External links
Fagiano Okayama official website squad
Kim Kwang-min at Yahoo! Japan
1985 births
Living people
Men's association football defenders
South Korean men's footballers
South Korean expatriate men's footballers
Suwon FC players
K League 2 players
J2 League players
Japan Football League players
Fagiano Okayama players
Fukushima United FC players
Korea National League players
Duhok SC players
Expatriate men's footballers in Japan
South Korean expatriate sportspeople in Japan |
https://en.wikipedia.org/wiki/2008%E2%80%9309%20Adelaide%20United%20FC%20%28W-League%29%20season | The 2008–09 season was Adelaide United Women's first season in the W-League and first overall season in the top flight Australian soccer.
Players
Transfers
Transfers in
Squad statistics
Appearances and goals
{| class="wikitable sortable plainrowheaders" style="text-align:center"
|-
! rowspan="2" |
! rowspan="2" |
! rowspan="2" style="width:180px;" |Name
! colspan="2" style="width:87px;" |W-League
! colspan="2" style="width:87px;" |Total
|-
!
!Goals
!
!Goals
|-
|1
|GK
! scope="row" | Emma Wirkus
|4
|0
!4
!0
|-
|2
|DF
! scope="row" | Renee Harrison
|8+1
|0
!9
!0
|-
|3
|DF
! scope="row" | Sarah Amorim
|9
|0
!9
!0
|-
|4
|DF
! scope="row" | Dianne Alagich
|10
|0
!10
!0
|-
|5
|MF
! scope="row" | Angela Fimmano
|2+4
|0
!6
!0
|-
|6
|DF
! scope="row" | Kristyn Swaffer
|10
|1
!10
!1
|-
|7
|FW
! scope="row" | Racheal Quigley
|3+4
|0
!7
!0
|-
|8
|FW
! scope="row" | Sandra Scalzi
|7+1
|4
!8
!4
|-
|9
|FW
! scope="row" | Stephanie Tokich
|7+3
|0
!10
!0
|-
|10
|FW
! scope="row" | Victoria Balomenos
|9
|3
!9
!3
|-
|11
|MF
! scope="row" | Sharon Black
|8+1
|3
!9
!3
|-
|12
|MF
! scope="row" | Tanya Harrison
|4+5
|0
!9
!0
|-
|13
|MF
! scope="row" | Leah Robinson
|5
|0
!5
!0
|-
|14
|FW
! scope="row" | Donna Cockayne
|4+4
|1
!8
!1
|-
|15
|MF
! scope="row" | Lauren Chilvers
|4+4
|0
!8
!0
|-
|17
|MF
! scope="row" | April Mann
|7+1
|0
!8
!0
|-
|20
|GK
! scope="row" | Sian McLaren
|4+1
|0
!5
!0
|-
|30
|GK
! scope="row" | Kristi Harvey
|2
|0
!2
!0
|-
|—
|MF
! scope="row" | Nenita Burgess
|1
|0
!1
!0
|}
Disciplinary record
Clean sheets
Competitions
Overview
{|class="wikitable" style="text-align:left"
|-
!rowspan=2 style="width:140px;"|Competition
!colspan=8|Record
|-
!style="width:40px;"|
!style="width:40px;"|
!style="width:40px;"|
!style="width:40px;"|
!style="width:40px;"|
!style="width:40px;"|
!style="width:40px;"|
!style="width:70px;"|
|-
|W-League
|-
!Total
W-League
League table
Results by matchday
Matches
External links
Adelaide United Official Website
Adelaide United FC (A-League Women) seasons
Adelaide United Women |
https://en.wikipedia.org/wiki/List%20of%20SK%20Rapid%20Wien%20records%20and%20statistics | Details of the records and statistics for the Austrian football club SK Rapid Wien. All data based on the official club archive.
Players in bold are currently active for Rapid Wien.
Highest wins and losses
Highest Wins
League
Cup
International
Highest Losses
League
Cup
International
Goalscorers
For a ranking of league and total goals see article List of SK Rapid Wien players
International goals
Domestic cup goals
Includes both the Austrian Cup and the German Tschammerpokal during the annexation of Austria from 1938 to 1945.
Goals as substitute
Most goals in one game
Youngest and oldest goal scorers
Note: Some players in Rapid history have unknown birthdates and are therefore not considered in the following lists.
Youngest goal scorers
Oldest goal scorers
Top goalscorers by season
Bold means the player was also the leagues overall top goal scorer.
Appearances
For a ranking of league and total appearances see article List of SK Rapid Wien players
International appearances
Domestic cup appearances
Includes both the Austrian Cup and the German Tschammerpokal during the annexation of Austria from 1938 to 1945.
Youngest and oldest players
Note: Some players in Rapid history have unknown birthdates and are therefore not considered in the following lists.
Youngest players
Oldest players
Discipline
Most sending-offs
Most yellow cards
Being booked twice for a send off is counted as 2 yellow cards in this statistic.
European records
Non-UEFA competitions
UEFA competitions
References
External links
SK Rapid Wien
Rapid Wien |
https://en.wikipedia.org/wiki/Mathematics%20of%20Control%2C%20Signals%2C%20and%20Systems | Mathematics of Control, Signals, and Systems is a peer-reviewed scientific journal that covers research concerned with mathematically rigorous system theoretic aspects of control and signal processing. The journal was founded by Eduardo Sontag and Bradley Dickinson in 1988. The editors-in-chief are Lars Gruene, Eduardo Sontag, and Jan H. van Schuppen.
Abstracting and indexing
The journal is abstracted and indexed in Digital Mathematics Registry, Mathematical Reviews, Science Citation Index, Scopus, VINITI Database RAS, and Zentralblatt Math. The journal is abstracted and indexed in Digital Mathematics Registry, Mathematical Reviews, Science Citation Index, Scopus, VINITI Database RAS, and Zentralblatt Math. The journal has a 2019 impact factor of 0.976 (2019)
References
External links
Academic journals established in 1988
Mathematics journals
Springer Science+Business Media academic journals
English-language journals
Quarterly journals |
https://en.wikipedia.org/wiki/Lagrangian%20system | In mathematics, a Lagrangian system is a pair , consisting of a smooth fiber bundle and a Lagrangian density , which yields the Euler–Lagrange differential operator acting on sections of .
In classical mechanics, many dynamical systems are Lagrangian systems. The configuration space of such a Lagrangian system is a fiber bundle over the time axis . In particular, if a reference frame is fixed. In classical field theory, all field systems are the Lagrangian ones.
Lagrangians and Euler–Lagrange operators
A Lagrangian density (or, simply, a Lagrangian) of order is defined as an -form, , on the -order jet manifold of .
A Lagrangian can be introduced as an element of the variational bicomplex of the differential graded algebra of exterior forms on jet manifolds of . The coboundary operator of this bicomplex contains the variational operator which, acting on , defines the associated Euler–Lagrange operator .
In coordinates
Given bundle coordinates on a fiber bundle and the adapted coordinates , , ) on jet manifolds , a Lagrangian and its Euler–Lagrange operator read
where
denote the total derivatives.
For instance, a first-order Lagrangian and its second-order Euler–Lagrange operator take the form
Euler–Lagrange equations
The kernel of an Euler–Lagrange operator provides the Euler–Lagrange equations .
Cohomology and Noether's theorems
Cohomology of the variational bicomplex leads to the so-called
variational formula
where
is the total differential and is a Lepage equivalent of . Noether's first theorem and Noether's second theorem are corollaries of this variational formula.
Graded manifolds
Extended to graded manifolds, the variational bicomplex provides description of graded Lagrangian systems of even and odd variables.
Alternative formulations
In a different way, Lagrangians, Euler–Lagrange operators and Euler–Lagrange equations are introduced in the framework of the calculus of variations.
Classical mechanics
In classical mechanics equations of motion are first and second order differential equations on a manifold or various fiber bundles over . A solution of the equations of motion is called a motion.
See also
Lagrangian mechanics
Calculus of variations
Noether's theorem
Noether identities
Jet bundle
Jet (mathematics)
Variational bicomplex
References
External links
Differential operators
Calculus of variations
Dynamical systems
Lagrangian mechanics |
https://en.wikipedia.org/wiki/Gauge%20symmetry%20%28mathematics%29 | In mathematics, any Lagrangian system generally admits gauge symmetries, though it may happen that they are trivial. In theoretical physics, the notion of gauge symmetries depending on parameter functions is a cornerstone of contemporary field theory.
A gauge symmetry of a Lagrangian is defined as a differential operator on some vector bundle taking its values in the linear space of (variational or exact) symmetries of . Therefore, a gauge symmetry of
depends on sections of and their partial derivatives. For instance, this is the case of gauge symmetries in classical field theory. Yang–Mills gauge theory and gauge gravitation theory exemplify classical field theories with gauge symmetries.
Gauge symmetries possess the following two peculiarities.
Being Lagrangian symmetries, gauge symmetries of a Lagrangian satisfy Noether's first theorem, but the corresponding conserved current takes a particular superpotential form where the first term vanishes on solutions of the Euler–Lagrange equations and the second one is a boundary term, where is called a superpotential.
In accordance with Noether's second theorem, there is one-to-one correspondence between the gauge symmetries of a Lagrangian and the Noether identities which the Euler–Lagrange operator satisfies. Consequently, gauge symmetries characterize the degeneracy of a Lagrangian system.
Note that, in quantum field theory, a generating functional may fail to be invariant under gauge transformations, and gauge symmetries are replaced with the BRST symmetries, depending on ghosts and acting both on fields and ghosts.
See also
Gauge theory (mathematics)
Lagrangian system
Noether identities
Gauge theory
Gauge symmetry
Yang–Mills theory
Gauge group (mathematics)
Gauge gravitation theory
Notes
References
Daniel, M., Viallet, C., The geometric setting of gauge symmetries of the Yang–Mills type, Rev. Mod. Phys. 52 (1980) 175.
Eguchi, T., Gilkey, P., Hanson, A., Gravitation, gauge theories and differential geometry, Phys. Rep. 66 (1980) 213.
Gotay, M., Marsden, J., Stress-energy-momentum tensors and the Belinfante–Rosenfeld formula, Contemp. Math. 132 (1992) 367.
Marathe, K., Martucci, G., The Mathematical Foundation of Gauge Theories (North Holland, 1992) .
Fatibene, L., Ferraris, M., Francaviglia, M., Noether formalism for conserved quantities in classical gauge field theories, J. Math. Phys. 35 (1994) 1644.
Gomis, J., Paris, J., Samuel, S., Antibracket, antifields and gauge theory quantization, Phys. Rep. 295 (1995) 1; arXiv: hep-th/9412228.
Giachetta, G. (2008), Mangiarotti, L., Sardanashvily, G., On the notion of gauge symmetries of generic Lagrangian field theory, J. Math. Phys. 50 (2009) 012903; arXiv: 0807.3003.
Giachetta, G. (2009), Mangiarotti, L., Sardanashvily, G., Advanced Classical Field Theory (World Scientific, 2009) .
Symmetry
Gauge theories |
https://en.wikipedia.org/wiki/Fred%20Wabwire-Mangen | Frederick Wabwire-Mangen is a Ugandan physician, public health specialist and medical researcher. Currently he is Professor of Epidemiology and Head of Department of Epidemiology & Biostatistics at Makerere University School of Public Health. Wabwire-Mangen also serves as the Chairman of Council of Kampala International University and a founding member of Accordia Global Health Foundation’s Academic Alliance
Background and education
He was born in Busia District, Eastern Uganda. He attended Nakasero Primary School and sat for his O-Level examinations from St. Mary's College Kisubi. Professor Wabwire-Mangen received his first medical degree, Bachelor of Medicine and Bachelor of Surgery (MBChB) from Makerere University School of Medicine. He also holds the Diploma in Tropical Medicine and Hygiene (DTM&H) from the Liverpool School of Tropical Medicine. His Master of Public Health (MPH) and Doctor of Philosophy (PhD) degrees, were both obtained from the Bloomberg School of Public Health at Johns Hopkins University in Baltimore, Maryland, United States.
Work experience
Dr. Wabwire-Manghen has been a researcher, academician and lecturer at Makerere University School of Public Health for most of his professional life. He has published extensively in medical journals and other peer publications. He is a leading authority on the epidemiology of HIV/AIDS in sub-Saharan Africa. He is also the chairperson of the National Population Council. He is also a former dean of the Makerere University School of Public Health Professor Fred Wabwire-Mangen is a Fellow of the Uganda National Academy of Sciences.
Some of his research published include the following; Malaria in Uganda: Challenges to control on the long road to elimination: I. Epidemiology and current control efforts. Male circumcision for HIV prevention in men in Rakai, Uganda: a randomised trial. This study established that male circumcision reduced HIV incidence in men without behavioural disinhibition. Circumcision can be recommended for HIV prevention in men. Viral load and heterosexual transmission of human immunodeficiency virus type 1. The study concluded that viral load is the chief predictor of the risk of heterosexual transmission of HIV-1, and transmission is rare among persons with levels of less than 1500 copies of HIV-1 RNA per milliliter. Rates of HIV-1 transmission per coital Act, by stage of HIV-1 infection, in Rakai, Uganda. Probability of HIV-1 transmission per coital act in monogamous, heterosexual, HIV-1-discordant couples in Rakai, Uganda. The study established that higher viral load and genital ulceration are the main determinants of HIV-1 transmission per coital act in this Ugandan population. Control of sexually transmitted diseases for AIDS prevention in Uganda: a randomised community trial. The study found no effect of the STD intervention on the incidence of HIV-1 infection. Current status and future prospects of epidemiology and public health training and research in the W |
https://en.wikipedia.org/wiki/Phillips%E2%80%93Perron%20test | In statistics, the Phillips–Perron test (named after Peter C. B. Phillips and Pierre Perron) is a unit root test. That is, it is used in time series analysis to test the null hypothesis that a time series is integrated of order 1. It builds on the Dickey–Fuller test of the null hypothesis in , where is the first difference operator. Like the augmented Dickey–Fuller test, the Phillips–Perron test addresses the issue that the process generating data for might have a higher order of autocorrelation than is admitted in the test equation—making endogenous and thus invalidating the Dickey–Fuller t-test. Whilst the augmented Dickey–Fuller test addresses this issue by introducing lags of as regressors in the test equation, the Phillips–Perron test makes a non-parametric correction to the t-test statistic. The test is robust with respect to unspecified autocorrelation and heteroscedasticity in the disturbance process of the test equation.
Davidson and MacKinnon (2004) report that the Phillips–Perron test performs worse in finite samples than the augmented Dickey–Fuller test.
References
Statistical tests |
https://en.wikipedia.org/wiki/Lee%20Chang-gang | Lee Chang-Gang (; born 9 December 1984) is a Japanese-born South Korean football goalkeeper, who plays for Fagiano Okayama in J2 League.
Club statistics
External links
Lee Chang-Gang at Yahoo! Japan
1984 births
Living people
Hannan University alumni
Association football people from Aichi Prefecture
South Korean men's footballers
South Korean expatriate men's footballers
J2 League players
Japan Football League players
Fagiano Okayama players
Expatriate men's footballers in Japan
South Korean expatriate sportspeople in Japan
Men's association football goalkeepers
Zainichi Korean men's footballers |
https://en.wikipedia.org/wiki/Quantum%20differential%20calculus | In quantum geometry or noncommutative geometry a quantum differential calculus or noncommutative differential structure on an algebra over a field means the specification of a space of differential forms over the algebra. The algebra here is regarded as a coordinate ring but it is important that it may be noncommutative and hence not an actual algebra of coordinate functions on any actual space, so this represents a point of view replacing the specification of a differentiable structure for an actual space. In ordinary differential geometry one can multiply differential 1-forms by functions from the left and from the right, and there exists an exterior derivative. Correspondingly, a first order quantum differential calculus means at least the following:
An --bimodule over , i.e. one can multiply elements of by elements of in an associative way:
A linear map obeying the Leibniz rule
(optional connectedness condition)
The last condition is not always imposed but holds in ordinary geometry when the manifold is connected. It says that the only functions killed by are constant functions.
An exterior algebra or differential graded algebra structure over means a compatible extension of to include analogues of higher order differential forms
obeying a graded-Leibniz rule with respect to an associative product on and obeying . Here and it is usually required that is generated by . The product of differential forms is called the exterior or wedge product and often denoted . The noncommutative or quantum de Rham cohomology is defined as the cohomology of this complex.
A higher order differential calculus can mean an exterior algebra, or it can mean the partial specification of one, up to some highest degree, and with products that would result in a degree beyond the highest being unspecified.
The above definition lies at the crossroads of two approaches to noncommutative geometry. In the Connes approach a more fundamental object is a replacement for the Dirac operator in the form of a spectral triple, and an exterior algebra can be constructed from this data. In the quantum groups approach to noncommutative geometry one starts with the algebra and a choice of first order calculus but constrained by covariance under a quantum group symmetry.
Note
The above definition is minimal and gives something more general than classical differential calculus even when the algebra is commutative or functions on an actual space. This is because we do not demand that
since this would imply that , which would violate axiom 4 when the algebra was noncommutative. As a byproduct, this enlarged definition includes finite difference calculi and quantum differential calculi on finite sets and finite groups (finite group Lie algebra theory).
Examples
For the algebra of polynomials in one variable the translation-covariant quantum differential calculi are parametrized by and take the form This shows how finite differences arise naturally in quan |
https://en.wikipedia.org/wiki/1987%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1987.
Overview
It was contested by 28 teams, and Djurgårdens IF and GAIS won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Ettan Fotboll seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1988%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1988.
Overview
It was contested by 28 teams, and Örebro SK and Halmstads BK won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Ettan Fotboll seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1989%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1989.
Overview
It was contested by 28 teams, and Hammarby IF and Östers IF won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Ettan Fotboll seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1990%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1990.
Overview
It was contested by 28 teams, and GIF Sundsvall and BK Häcken won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Ettan Fotboll seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1991%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1991.
Spring
Norra
Östra
Västra
Södra
Autumn
Kvalsvenskan
Norra
Östra
Västra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1991
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1992%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1992.
Spring
Norra
Östra
Västra
Södra
Autumn
Kvalsvenskan
Norra
Östra
Västra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1992
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1993%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1993.
Overview
It was contested by 28 teams, and Hammarby IF and Landskrona BoIS won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1993
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1994%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1994.
Overview
It was contested by 28 teams, and Djurgårdens IF and Örgryte IS won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1994
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1995%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1995.
Overview
It was contested by 28 teams, and Umeå FC and IK Oddevold won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1995
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1996%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1996.
Overview
It was contested by 28 teams, and Västerås SK and IF Elfsborg won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1996
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1997%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1997.
Overview
It was contested by 28 teams, and Hammarby IF and Västra Frölunda IF won the championship.
Vasalunds IF was awarded technical losses in nine matches due to using four non-EU-players per match (among them Jones Kusi-Asare), one more than the allowed three.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1997
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1998%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1998.
Overview
It was contested by 28 teams, and Djurgårdens IF and Kalmar FF won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1998
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1999%20Swedish%20football%20Division%201 | Statistics of Swedish football Division 1 in season 1999.
Overview
It was contested by 28 teams, and GIF Sundsvall and BK Häcken won the championship.
League standings
Norra
Södra
Footnotes
References
Sweden – List of final tables (Clas Glenning)
1999
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/Sahan%20Jayawardene | Sahan Jayawardene (full name Mathsahan Liyanajayawardene; born 25 July 1990) is a Sri Lankan cricketer. He is a left-handed batsman and left-arm medium-fast bowler who plays for Sri Lanka Air Force Sports Club. He was born in Mahamodara.
Jayawardene, who made his cricketing debut for the Under-23s team in 2009, in both the two-day and one-day form of the game, made his List A debut for the side during the 2009-10 Premier Limited Overs Tournament season, against Panadura Sports Club. He scored 2 runs with the bat, and conceded 22 runs from eight overs with the ball.
External links
Sahan Jayawardene at CricketArchive
1990 births
Living people
Sri Lankan cricketers
Sri Lanka Air Force Sports Club cricketers
Cricketers from Southern Province, Sri Lanka |
https://en.wikipedia.org/wiki/Murat%20Tuncali | Murat Tuncali (born 1959) is a Mathematics Professor at Nipissing University in North Bay, Ontario. He is also the chair of the Department of Computer Science and Mathematics. He graduated with his Bachelor of Science at Boğaziçi University, in Turkey. He then graduated from University of Saskatchewan with an MSc, and a PhD. He has won many awards over the years, including the Chancellor’s Award for Excellence in Research 1999–2000, Research Achievement Award 2001–2002. He took a break from his position between the months of January and June 2006.
References
External links
1959 births
Living people
Canadian mathematicians
Canadian people of Turkish descent
Academic staff of Nipissing University
University of Saskatchewan alumni |
https://en.wikipedia.org/wiki/Universal%20differential%20equation | A universal differential equation (UDE) is a non-trivial differential algebraic equation with the property that its solutions can approximate any continuous function on any interval of the real line to any desired level of accuracy.
Precisely, a (possibly implicit) differential equation is a UDE if for any continuous real-valued function and for any positive continuous function there exist a smooth solution of with for all .
The existence of an UDE has been initially regarded as an analogue of the universal Turing machine for analog computers, because of a result of Shannon that identifies the outputs of the general purpose analog computer with the solutions of algebraic differential equations. However, in contrast to universal Turing machines, UDEs do not dictate the evolution of a system, but rather sets out certain conditions that any evolution must fulfill.
Examples
Rubel found the first known UDE in 1981. It is given by the following implicit differential equation of fourth-order:
Duffin obtained a family of UDEs given by:
and , whose solutions are of class for n > 3.
Briggs proposed another family of UDEs whose construction is based on Jacobi elliptic functions:
, where n > 3.
Bournez and Pouly proved the existence of a fixed polynomial vector field p such that for any f and ε there exists some initial condition of the differential equation y' = p(y) that yields a unique and analytic solution satisfying |y(x) − f(x)| < ε(x) for all x in R.
See also
Zeta function universality
Hölder's theorem
References
External links
Wolfram Mathworld page on UDEs
Differential equations
Approximation theory |
https://en.wikipedia.org/wiki/Lee%20Hun%20%28footballer%29 | Lee Hun (; born 29 April 1986) is a South Korean football forward, who played for Gyeongnam FC in K-League.
Club career statistics
External links
1986 births
Living people
Men's association football forwards
South Korean men's footballers
Gyeongnam FC players
K League 1 players
Footballers from Seoul |
https://en.wikipedia.org/wiki/Peter%20Salamon | Peter Salamon is a mathematics professor at San Diego State University.
He has published more than 200 mathematical articles related to biomathematics, thermodynamics in finite time / geometrical thermodynamics, and optimization and mathematical modeling.
He has an Erdős number of one and is also known for founding and doing extensive work on Finite Time Thermodynamics.
In 1984, Peter Salamon co-founded the Telluride Science and Innovation Center, together with R. Stephen Berry. Salamon served as Telluride Science’s first Chairman of the Board and President from 1984 through 1987.
In 1990, Salamon introduced the idea of ensembles to neural networks.
Publications
References
--
20th-century American mathematicians
21st-century American mathematicians
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/1924%E2%80%9325%20Swedish%20football%20Division%202 | Statistics of Division 2 of Swedish football for the 1924–25 season.
League standings
Division 2 Uppsvenska Serien 1924–25
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
No teams from Uppsvenska Serien were allowed to be promoted to Allsvenskan, due to both geographic and economic reasons.
Division 2 Mellansvenska Serien 1924–25
Division 2 Östsvenska Serien 1924–25
Division 2 Västsvenska Serien 1924–25
Division 2 Sydsvenska Serien 1924–25
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1925%E2%80%9326%20Swedish%20football%20Division%202 | Statistics of Division 2 for the 1925–26 season.
League standings
Division 2 Uppsvenska Serien 1925–26
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
No teams from Uppsvenska Serien were allowed to be promoted to Allsvenskan, due to both geographic and economic reasons.
Division 2 Mellansvenska Serien 1925–26
Division 2 Östsvenska Serien 1925–26
Division 2 Västsvenska Serien 1925–26
Division 2 Sydsvenska Serien 1925–26
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1926%E2%80%9327%20Swedish%20football%20Division%202 | Statistics of Division 2 for the 1926–27 season.
League standings
Division 2 Uppsvenska Serien 1926–27
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
No teams from Uppsvenska Serien were allowed to be promoted to Allsvenskan, due to both geographic and economic reasons.
Division 2 Mellansvenska Serien 1926–27
Division 2 Östsvenska Serien 1926–27
Division 2 Västsvenska Serien 1926–27
Division 2 Sydsvenska Serien 1926–27
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1927%E2%80%9328%20Swedish%20football%20Division%202 | Statistics of Division 2 for the 1927–28 season.
League standings
Division 2 Uppsvenska Serien 1927–28
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
No teams from Uppsvenska Serien were allowed to be promoted to Allsvenskan, due to both geographic and economic reasons.
Division 2 Mellansvenska Serien 1927–28
Division 2 Östsvenska Serien 1927–28
Division 2 Västsvenska Serien 1927–28
Division 2 Sydsvenska Serien 1927–28
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1928%E2%80%9329%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1928–29 season.
League standings
Division 2 Norra 1928–29
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Södra 1928–29
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1929%E2%80%9330%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1929–30 season.
League standings
Division 2 Norra 1929–30
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Södra 1929–30
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1930%E2%80%9331%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1930–31 season.
League standings
Division 2 Norra 1930–31
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Södra 1930–31
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1931%E2%80%9332%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1931–32 season.
League standings
Division 2 Norra 1931–32
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Södra 1931–32
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1932%E2%80%9333%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1932–33 season.
League standings
Division 2 Norra 1932–33
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1932–33
Division 2 Västra 1932–33
Division 2 Södra 1932–33
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1933%E2%80%9334%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1933–34 season.
League standings
Division 2 Norra 1933–34
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1933–34
Division 2 Västra 1933–34
Division 2 Södra 1933–34
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1934%E2%80%9335%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1934–35 season.
League standings
Division 2 Norra 1934–35
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1934–35
Division 2 Västra 1934–35
Division 2 Södra 1934–35
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1935%E2%80%9336%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1935–36 season.
League standings
Division 2 Norra 1935–36
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1935–36
Division 2 Västra 1935–36
Division 2 Södra 1935–36
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1936%E2%80%9337%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1936–37 season.
League standings
Division 2 Norra 1936–37
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1936–37
Division 2 Västra 1936–37
Division 2 Södra 1936–37
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1937%E2%80%9338%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1937–38 season.
League standings
Division 2 Norra 1937–38
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1937–38
Division 2 Västra 1937–38
Division 2 Södra 1937–38
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1938%E2%80%9339%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1938–39 season.
League standings
Division 2 Norra 1938–39
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1938–39
Division 2 Västra 1938–39
Division 2 Södra 1938–39
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1939%E2%80%9340%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1939–40 season.
League standings
Division 2 Norra 1939–40
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season.
Division 2 Östra 1939–40
Division 2 Västra 1939–40
Division 2 Södra 1939–40
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1940%E2%80%9341%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1940–41 season.
League standings
Division 2 Norra 1940–41
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1940–41
Division 2 Västra 1940–41
Division 2 Södra 1940–41
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1941%E2%80%9342%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1941–42 season.
League standings
Division 2 Norra 1941–42
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1941–42
Division 2 Västra 1941–42
Division 2 Södra 1941–42
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1942%E2%80%9343%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1942–43 season.
League standings
Division 2 Norra 1942–43
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1942–43
Division 2 Västra 1942–43
Division 2 Södra 1942–43
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1943%E2%80%9344%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1943–44 season.
League standings
Division 2 Norra 1943–44
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1943–44
Division 2 Västra 1943–44
Division 2 Södra 1943–44
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1944%E2%80%9345%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1944–45 season.
League standings
Division 2 Norra 1944–45
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season.
Division 2 Östra 1944–45
Division 2 Västra 1944–45
Division 2 Södra 1944–45
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1945%E2%80%9346%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1945–46 season.
League standings
Division 2 Norra 1945–46
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season.
Division 2 Östra 1945–46
Division 2 Västra 1945–46
Division 2 Södra 1945–46
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1946%E2%80%9347%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1946–47 season.
League standings
Division 2 Norra 1946–47
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Östra 1946–47
Division 2 Västra 1946–47
Division 2 Södra 1946–47
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1947%E2%80%9348%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1947–48 season.
League standings
Division 2 Nordöstra 1947–48
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Sydvästra 1947–48
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1948%E2%80%9349%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1948–49 season.
League standings
Division 2 Nordöstra 1948–49
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Sydvästra 1948–49
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1949%E2%80%9350%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1949–50 season.
League standings
Division 2 Nordöstra 1949–50
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Sydvästra 1949–50
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1950%E2%80%9351%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1950–51 season.
League standings
Division 2 Nordöstra 1950–51
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Sydvästra 1950–51
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1951%E2%80%9352%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1951–52 season.
League standings
Division 2 Nordöstra 1951–52
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Sydvästra 1951–52
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1952%E2%80%9353%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1952–53 season.
League standings
Division 2 Nordöstra 1952–53
Teams from a large part of northern Sweden, approximately above the province of Medelpad, were not allowed to play in the national league system until the 1953–54 season, and a championship was instead played to decide the best team in Norrland.
Division 2 Sydvästra 1952–53
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1953%E2%80%9354%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1953–54 season.
League standings
Norrland
Svealand
Götaland
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1954%E2%80%9355%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1954–55 season.
League standings
Norrland
Svealand
Götaland
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1955%E2%80%9356%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1955–56 season.
League standings
Norrland
Svealand
Östra Götaland
Västra Götaland
Allsvenskan promotion playoffs
IK Brage - IFK Malmö 2-3 (0-1, 2-2)
Lycksele IF - GAIS 0-10 (0-2, 0-8)
IFK Malmö and GAIS promoted to Allsvenskan.
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1956%E2%80%9357%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1956–57 season.
League standings
Norrland
Svealand
Östra Götaland
Västra Götaland
Allsvenskan promotion playoffs
GIF Sundsvall - IFK Eskilstuna 3-6 (1-1, 2-2, 0-3)
Örgryte IS - Motala AIF 3-8 (3-4, 0-4)
IFK Eskilstuna and Motala AIF promoted to Allsvenskan.
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1957%E2%80%9358%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1957–58 season.
League standings
Division 2 Norrland 1957–58
Division 2 Svealand 1957–58
Division 2 Östra Götaland 1957–58
Division 2 Västra Götaland 1957–58
Allsvenskan promotion playoffs
Skellefteå AIK - Hammarby IF 2-6 (0-0, 2-6)
Örgryte IS - Landskrona BoIS 6-0 (5-0, 1-0)
Hammarby IF and Örgryte IS promoted to Allsvenskan.
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden |
https://en.wikipedia.org/wiki/1959%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1959 season.
League standings
Norrland
Svealand
Västra Götaland
Östra Götaland
Allsvenskan promotion playoffs
IFK Luleå - Jönköpings Södra IF 1-9 (1-2, 0-7)
Degerfors IF - Landskrona BoIS 7-6 (2-3, 3-2, 2-1)
Jönköpings Södra IF and Degerfors IF promoted to Allsvenskan.
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1960%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1960 season.
League standings
Norrland
Svealand
Västra Götaland
Östra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1961%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1961 season.
League standings
Norrland
Svealand
Västra Götaland
Östra Götaland
Allsvenskan promotion playoffs
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1962%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1962 season.
League standings
Norrland
Svealand
Västra Götaland
Östra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1963%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1963 season.
League standings
Norrland
Svealand
Västra Götaland
Östra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1964%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1964 season.
League standings
Norrland
Svealand
Västra Götaland
Östra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1965%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1965 season.
League standings
Norrland
Svealand
Västra Götaland
Östra Götaland
Allsvenskan promotion playoffs
Footnotes
References
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1966%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1966 season.
League standings
Norrland
Svealand
Norra Götaland
Södra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1967%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1967 season.
League standings
Norrland
Svealand
Norra Götaland
Södra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1968%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1968 season.
League standings
Norrland
Svealand
Norra Götaland
Södra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1969%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1969 season.
League standings
Norrland
Svealand
Norra Götaland
Södra Götaland
Allsvenskan promotion playoffs
Sandåkerns SK - Hammarby IF 1-2
Hälsingborgs IF - Örgryte IS 0-4
Hammarby IF - Hälsingborgs IF 2-0
Örgryte IS - Sandåkerns SK 3-1
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1970%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1970 season.
League standings
Norrland
Svealand
Norra Götaland
Södra Götaland
Allsvenskan promotion playoffs
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1971%20Swedish%20football%20Division%202 | Statistics of the Swedish football Division 2 in the 1971 season.
League standings
Norrland
Svealand
Norra Götaland
Södra Götaland
Allsvenskan promotion playoffs
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1972%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1972 season.
League standings
Norra
Mellersta
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1973%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1973 season.
League standings
Norra
Södra
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1975%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1975.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1976%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1976.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1976
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1977%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1977.
League standings
Norra
Södra
Footnotes
References
Sweden - List of final tables (Clas Glenning)
1977
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1978%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1978.
League standings
Norra
Södra
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1979%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1979.
League standings
Norra
Södra
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1980%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1980.
League standings
Division 2 Norra 1980
Division 2 Södra 1980
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1981%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1981.
League standings
Division 2 Norra 1981
Division 2 Södra 1981
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1982%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1982.
League standings
Division 2 Norra 1982
Division 2 Södra 1982
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1983%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1983.
League standings
Division 2 Norra 1983
Division 2 Södra 1983
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1984%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1984.
League standings
Division 2 Norra 1984
Division 2 Södra 1984
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1985%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1985.
League standings
Division 2 Norra 1985
Division 2 Södra 1985
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/1986%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 in season 1986.
League standings
Division 2 Norra 1986
Division 2 Södra 1986
Footnotes
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
2
Sweden
Sweden |
https://en.wikipedia.org/wiki/J%C3%A1nos%20Szab%C3%B3%20%28footballer%29 | János Szabó (born 11 July 1989) is Hungarian footballer who plays as a defender for Paks.
Club statistics
Updated to games played as of 5 March 2022.
Honours
FIFA U-20 World Cup:
Third place: 2009
Videos
2011-2012
Video1
Video2
References
Profile
Profile
1989 births
Footballers from Szekszárd
Living people
Hungarian men's footballers
Hungary men's international footballers
Hungary men's under-21 international footballers
Hungary men's youth international footballers
Men's association football defenders
Paksi FC players
BFC Siófok players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players |
https://en.wikipedia.org/wiki/1987%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1987 season.
League standings
Norra
Mellersta
Västra
Östra
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
3
Sweden
Sweden |
https://en.wikipedia.org/wiki/1988%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1988 season.
League standings
Norra
Mellersta
Västra
Södra
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
3
Sweden
Sweden |
https://en.wikipedia.org/wiki/1989%20Swedish%20football%20Division%202 | Statistics of Swedish football Division 2 for the 1989 season.
League standings
Norra
Östra
Västra
Södra
References
Sweden - List of final tables (Clas Glenning)
Swedish Football Division 2 seasons
3
Sweden
Sweden |
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