source
stringlengths
31
168
text
stringlengths
51
3k
https://en.wikipedia.org/wiki/2011%20Division%204%20%28lower%20tier%29%20%28Swedish%20football%29
Statistics of the lower tier of Swedish football Division 4 for the 2011 season. These 5 divisions feed into the Halland and Småland Elit divisions in Division 4 League standings Halland 2011 Småland Nordvästra 2011 Småland Nordöstra 2011 Småland Sydvästra 2011 Småland Sydöstra 2011 Footnotes References Swed...
https://en.wikipedia.org/wiki/2002%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 2002 season. League standings Norra Norrland 2002 Mellersta Norrland 2002 Södra Norrland 2002 Norra Svealand 2002 Östra Svealand 2002 Västra Svealand 2002 Nordöstra Götaland 2002 Nordvästra Götaland 2002 Mellersta Götaland 2002 Sydöstra Götaland 2002 Sydväst...
https://en.wikipedia.org/wiki/Mixed%20Poisson%20process
In probability theory, a mixed Poisson process is a special point process that is a generalization of a Poisson process. Mixed Poisson processes are simple example for Cox processes. Definition Let be a locally finite measure on and let be a random variable with almost surely. Then a random measure on is calle...
https://en.wikipedia.org/wiki/Northwest%20Rankin%20High%20School
{ "type": "FeatureCollection", "features": [ { "type": "Feature", "properties": {}, "geometry": { "type": "Point", "coordinates": [ -90.00008583068849, 32.358684516465324 ] } } ] } Northwest Rankin High School is a suburban public high sc...
https://en.wikipedia.org/wiki/Walid%20Belhamri
Walid Belhamri (born 19 November 1990 in Bouinan, Algeria) is an Algerian professional footballer who plays for IB Khémis El Khechna. Statistics References External links 1990 births Living people Algerian men's footballers Algerian Ligue 2 players People from Blida Province Men's association football midfielders O...
https://en.wikipedia.org/wiki/2011%20Swedish%20football%20Division%205%20%28Part%201%29
Statistics of Swedish football Division 5 for the 2011 season. This is Part 1 which covers Blekinge, Bohuslän, Dalarna, Dalsland, Gestrikland, Gotland, Göteborg, Halland, Hälsingland, Jämtland-Härjedalen, Medelpad, Norrbotten, Skåne and Småland. See also 2011 Division 5 (Part 2) which covers Stockholm, Södermanland, U...
https://en.wikipedia.org/wiki/2011%20Swedish%20football%20Division%205%20%28Part%202%29
Statistics of Swedish football Division 5 for the 2011 season. This is Part 2 which covers Stockholm, Södermanland, Uppland, Värmland, Västerbotten, Västergötland, Västmanland, Ångermanland, Örebro Läns and Östergötland. See also 2011 Division 5 (Part 1) which covers Blekinge, Bohuslän, Dalarna, Dalsland, Gestrikland,...
https://en.wikipedia.org/wiki/Scholz%27s%20reciprocity%20law
In mathematics, Scholz's reciprocity law is a reciprocity law for quadratic residue symbols of real quadratic number fields discovered by and rediscovered by . Statement Suppose that p and q are rational primes congruent to 1 mod 4 such that the Legendre symbol (p/q) is 1. Then the ideal (p) factorizes in the ring of...
https://en.wikipedia.org/wiki/Mohamed%20Billal%20Rait
Mohamed Billal Rait (born 16 May 1986 in Boufarik, Algeria) is an Algerian professional footballer. He currently plays as a midfielder for the Algerian Ligue 1 club RC Arbaâ. Statistics References External links 1986 births Living people Algerian men's footballers Olympique de Médéa players RC Arbaâ players ES Séti...
https://en.wikipedia.org/wiki/Mohamed%20Deroukdal
Mohamed Deroukdal (born 2 December 1980) is an Algeria]] professional footballer. He plays as a defender for the Algerian Ligue 2 club Olympique de Médéa. Statistics References 1980 births Living people Algerian men's footballers Olympique de Médéa players Algerian Ligue Professionnelle 1 players Algerian Ligue 2 pl...
https://en.wikipedia.org/wiki/2001%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 2001 season. League standings Norra Norrland 2001 Mellersta Norrland 2001 Södra Norrland 2001 Norra Svealand 2001 Östra Svealand 2001 Västra Svealand 2001 Nordöstra Götaland 2001 Nordvästra Götaland 2001 Mellersta Götaland 2001 Sydöstra Götaland 2001 Sydväst...
https://en.wikipedia.org/wiki/2000%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 2000 season. League standings Norra Norrland 2000 Mellersta Norrland 2000 Södra Norrland 2000 Norra Svealand 2000 Östra Svealand 2000 Västra Svealand 2000 Nordöstra Götaland 2000 Nordvästra Götaland 2000 Mellersta Götaland 2000 Sydöstra Götaland 2000 Sydväst...
https://en.wikipedia.org/wiki/1999%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 1999 season. League standings Norra Norrland 1999 Mellersta Norrland 1999 Södra Norrland 1999 Norra Svealand 1999 Östra Svealand 1999 Västra Svealand 1999 Nordöstra Götaland 1999 Nordvästra Götaland 1999 Mellersta Götaland 1999 Sydöstra Götaland 1999 Sydväst...
https://en.wikipedia.org/wiki/1998%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 1998 season. League standings Norra Norrland 1998 Mellersta Norrland 1998 Södra Norrland 1998 Norra Svealand 1998 Östra Svealand 1998 Västra Svealand 1998 Nordöstra Götaland 1998 Nordvästra Götaland 1998 Mellersta Götaland 1998 Sydöstra Götaland 1998 Sydväst...
https://en.wikipedia.org/wiki/1997%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 1997 season. League standings Norra Norrland 1997 Mellersta Norrland 1997 Södra Norrland 1997 Norra Svealand 1997 Östra Svealand 1997 Västra Svealand 1997 Nordöstra Götaland 1997 Nordvästra Götaland 1997 Mellersta Götaland 1997 Sydöstra Götaland 1997 Sydväst...
https://en.wikipedia.org/wiki/Project%20SEED
Project SEED is a mathematics education program which worked in urban school districts across the United States. Project SEED is a nonprofit organization that worked in partnership with school districts, universities, foundations, and corporations to teach advanced mathematics to elementary and middle school students ...
https://en.wikipedia.org/wiki/Inverted%20bell%20curve
In statistics, an inverted bell curve is a term used loosely or metaphorically to refer to a bimodal distribution that falls to a trough between two peaks, rather than (as in a standard bell curve) rising to a single peak and then falling off on both sides. References Continuous distributions Gaussian function
https://en.wikipedia.org/wiki/Bhima%20I
{ "type": "FeatureCollection", "features": [ { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Radhanpur" }, "geometry": { "type": "Point", "coordinates": [71.6139348, 23.8286354] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Abu" }, ...
https://en.wikipedia.org/wiki/Omar%20Ibrahim%20Hammad
Omar Ibrahim Hammad is a Sudanese footballer who plays . He plays as a right winger. Club career statistics Statistics accurate as of 21 August 2012 1Includes Emir of Qatar Cup. 2Includes Sheikh Jassem Cup. 3Includes AFC Champions League. External links Player profile - QSL.com.qa References 1986 births Living pe...
https://en.wikipedia.org/wiki/Lee-Jen%20Wei
Lee-Jen Wei () is a Taiwanese-American professor of biostatistics at Harvard University. Career He was graduated from Fu Jen Catholic University's Mathematics Department in 1970. He obtained his PhD from the University of Wisconsin–Madison in 1975. He has been a tenured Professor of Biostatistics at Harvard University...
https://en.wikipedia.org/wiki/Rayleigh%E2%80%93Faber%E2%80%93Krahn%20inequality
In spectral geometry, the Rayleigh–Faber–Krahn inequality, named after its conjecturer, Lord Rayleigh, and two individuals who independently proved the conjecture, G. Faber and Edgar Krahn, is an inequality concerning the lowest Dirichlet eigenvalue of the Laplace operator on a bounded domain in , . It states that the...
https://en.wikipedia.org/wiki/Denis%20Creissels
Denis Creissels (born 18 September 1943) is a French professor of linguistics at the University of Lyon. After studying mathematics and Russian, he has taught general linguistics at the University of Grenoble from 1970 to 1996, and at the University of Lyon from 1996 to 2008. He is now professor emeritus at the Univer...
https://en.wikipedia.org/wiki/Geometrography
In the mathematical field of geometry, geometrography is the study of geometrical constructions. The concepts and methods of geometrography were first expounded by Émile Lemoine (1840–1912), a French civil engineer and a mathematician, in a meeting of the French Association for the Advancement of the Sciences held at...
https://en.wikipedia.org/wiki/QUEL%20query%20languages
QUEL is a relational database query language, based on tuple relational calculus, with some similarities to SQL. It was created as a part of the Ingres DBMS effort at University of California, Berkeley, based on Codd's earlier suggested but not implemented Data Sub-Language ALPHA. QUEL was used for a short time in mo...
https://en.wikipedia.org/wiki/Mohammad%20Shatnawi
Mohammad Shatnawi (; born 17 August 1985) is a Jordanian professional footballer who plays as a goalkeeper for Jordanian club Sahab. Career statistics International Honours Club Al-Hussein Jordan FA Shield: 2005 Al-Faisaly Jordan Premier League: 2011–12 Jordan FA Cup: 2011–12, 2014–15 Jordan FA Shield: 2011 J...
https://en.wikipedia.org/wiki/Rational%20reciprocity%20law
In number theory, a rational reciprocity law is a reciprocity law involving residue symbols that are related by a factor of +1 or –1 rather than a general root of unity. As an example, there are rational biquadratic and octic reciprocity laws. Define the symbol (x|p)k to be +1 if x is a k-th power modulo the prime p ...
https://en.wikipedia.org/wiki/1996%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 1996 season. League standings Norra Norrland 1996 Mellersta Norrland 1996 Södra Norrland 1996 Norra Svealand 1996 Östra Svealand 1996 Västra Svealand 1996 Nordöstra Götaland 1996 Nordvästra Götaland 1996 Mellersta Götaland 1996 Sydöstra Götaland 1996 Sydväst...
https://en.wikipedia.org/wiki/Quality%20%26%20Quantity
Quality & Quantity is an interdisciplinary double-blind peer-reviewed academic journal dealing with methodological issues in the fields of economics, psychology and sociology, mathematics, and statistics. The journal is published by Springer Science+Business Media. References External links Sociology journals Math...
https://en.wikipedia.org/wiki/1995%20Swedish%20Football%20Division%203
Statistics of Swedish football Division 3 for the 1995 season. League standings Norra Norrland 1995 Mellersta Norrland 1995 Södra Norrland 1995 Norra Svealand 1995 Östra Svealand 1995 Västra Svealand 1995 Nordöstra Götaland 1995 Nordvästra Götaland 1995 Mellersta Götaland 1995 Sydöstra Götaland 1995 Sydväst...
https://en.wikipedia.org/wiki/Convex%20space
In mathematics, a convex space (or barycentric algebra) is a space in which it is possible to take convex combinations of any sets of points. Formal Definition A convex space can be defined as a set equipped with a binary convex combination operation for each satisfying: (for ) From this, it is possibl...
https://en.wikipedia.org/wiki/Riemann%20%28surname%29
Riemann is a German surname. Notable people with this surname include the following: Bernhard Riemann (1826–1866), German mathematician, originator of Riemannian geometry Fritz Riemann (1859–1932), German chess master Fritz Riemann (psychologist) (1902–1979), German psychoanalyst Hugo Riemann (1849–1919), German m...
https://en.wikipedia.org/wiki/Cofree%20coalgebra
In algebra, the cofree coalgebra of a vector space or module is a coalgebra analog of the free algebra of a vector space. The cofree coalgebra of any vector space over a field exists, though it is more complicated than one might expect by analogy with the free algebra. Definition If V is a vector space over a field F...
https://en.wikipedia.org/wiki/Gassmann%20triple
In mathematics, a Gassmann triple (or Gassmann-Sunada triple) is a group G together with two faithful actions on sets X and Y, such that X and Y are not isomorphic as G-sets but every element of G has the same number of fixed points on X and Y. They were introduced by Fritz Gassmann in 1926. Applications Gassmann trip...
https://en.wikipedia.org/wiki/Shahrul%20Azhar%20Ture
Shahrul Azhar bin Ture (born 15 September 1985) is a Malaysian footballer who plays as a midfielder for the Malaysia Super League club PKNS. Career statistics Club References 1985 births Living people Malaysian men's footballers Malaysia Super League players Sabah F.C. (Malaysia) players Selangor F.C. II players Fo...
https://en.wikipedia.org/wiki/Jack%20van%20Wijk
Jarke J. (Jack) van Wijk (born 1959) is a Dutch computer scientist, a professor in the Department of Mathematics and Computer Science at the Eindhoven University of Technology, and an expert in information visualization. Biography Van Wijk received his M.S. from the Delft University of Technology in 1982. His master's...
https://en.wikipedia.org/wiki/P%C3%A9ter%20Komj%C3%A1th
Péter Komjáth (born 8 April 1953) is a Hungarian mathematician, working in set theory, especially combinatorial set theory. Komjáth is a professor at the Faculty of Sciences of the Eötvös Loránd University. He is currently a visiting faculty member at Emory University in the department of Mathematics and Computer Scien...
https://en.wikipedia.org/wiki/2011%20Mongolian%20Premier%20League
Statistics of Niislel Lig in the 2011 season. The title was won by FC Ulaanbaatar which was their first ever title. League standings In the first round of the competition, all the teams played each other twice. The top four teams advanced to the semi-finals. Play-offs Semi-finals Final Super Cup The 2011 Super Cup...
https://en.wikipedia.org/wiki/Knut%20Hartwig
Knut Hartwig (born 13 November 1969) is retired a German football midfielder. Hartwig portrayed Fritz Walter in the movie The Miracle of Bern. Career statistics Personal life Knut Hartwig is the father of Luis Hartwig. References External links 1969 births Living people German men's footballers VfL Bochum II p...
https://en.wikipedia.org/wiki/Walter%20Zastrau
Walter Zastrau (born 30 May 1935) is a German retired professional footballer who played as a defender. Career statistics References External links Living people 1935 births German men's footballers Men's association football defenders Germany men's international footballers Germany men's B international football...
https://en.wikipedia.org/wiki/Parallel%20postulate
In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry: If a line segment intersects two straight lines forming two interior angles on the same side that ...
https://en.wikipedia.org/wiki/Playfair%27s%20axiom
In geometry, Playfair's axiom is an axiom that can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point. It is equivalent to Euclid's parallel postulate in the context of Euc...
https://en.wikipedia.org/wiki/Hyperoperation
In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations (called hyperoperations in this context) that starts with a unary operation (the successor function with n = 0). The sequence continues with the binary operations of addition (n = 1), multiplication (n = 2), and exponentiation ...
https://en.wikipedia.org/wiki/Kunita%E2%80%93Watanabe%20inequality
In stochastic calculus, the Kunita–Watanabe inequality is a generalization of the Cauchy–Schwarz inequality to integrals of stochastic processes. It was first obtained by Hiroshi Kunita and Shinzo Watanabe and plays a fundamental role in their extension of Ito's stochastic integral to square-integrable martingales. St...
https://en.wikipedia.org/wiki/Dallas%20Mavericks%20all-time%20roster%20and%20statistics%20leaders
The Dallas Mavericks are an American professional basketball team based in Dallas. They play in the Southwest Division of the Western Conference in the National Basketball Association (NBA). The team joined the NBA in 1980 as an expansion team and won their first NBA championship in 2011. The Mavericks have played thei...
https://en.wikipedia.org/wiki/James%20Colliander
James Ellis Colliander (born 22 June 1967) is an American-Canadian mathematician. He is currently Professor of Mathematics at University of British Columbia and served as Director of the Pacific Institute for the Mathematical Sciences (PIMS) during 2016-2021. He was born in El Paso, Texas, and lived there until age 8 a...
https://en.wikipedia.org/wiki/Hermite%27s%20cotangent%20identity
In mathematics, Hermite's cotangent identity is a trigonometric identity discovered by Charles Hermite. Suppose a1, ..., an are complex numbers, no two of which differ by an integer multiple of . Let (in particular, A1,1, being an empty product, is 1). Then The simplest non-trivial example is the case n = 2:...
https://en.wikipedia.org/wiki/Biggest%20little%20polygon
In geometry, the biggest little polygon for a number n is the n-sided polygon that has diameter one (that is, every two of its points are within unit distance of each other) and that has the largest area among all diameter-one n-gons. One non-unique solution when n = 4 is a square, and the solution is a regular polygon...
https://en.wikipedia.org/wiki/2009%20Montedio%20Yamagata%20season
2009 Montedio Yamagata season Competitions Player statistics Other pages J. League official site Montedio Yamagata Montedio Yamagata seasons
https://en.wikipedia.org/wiki/2009%20Kashima%20Antlers%20season
2009 Kashima Antlers season Competitions Player statistics Other pages J. League official site Kashima Antlers Kashima Antlers seasons
https://en.wikipedia.org/wiki/2009%20Omiya%20Ardija%20season
2009 Omiya Ardija season Competitions Player statistics Other pages J. League official site Omiya Ardija Omiya Ardija seasons
https://en.wikipedia.org/wiki/2009%20JEF%20United%20Chiba%20season
2009 JEF United Ichihara Chiba season Competitions Player statistics Other pages J. League official site JEF United Ichihara Chiba JEF United Chiba seasons
https://en.wikipedia.org/wiki/2009%20Kashiwa%20Reysol%20season
2009 Kashiwa Reysol season Competitions Player statistics Other pages J. League official site Kashiwa Reysol Kashiwa Reysol seasons
https://en.wikipedia.org/wiki/2009%20FC%20Tokyo%20season
The 2009 FC Tokyo season was the team's 11th as a member of J.League Division 1. Competitions Player statistics Other pages J. League official site Tokyo 2009
https://en.wikipedia.org/wiki/2009%20Kawasaki%20Frontale%20season
2009 Kawasaki Frontale season Competitions Player statistics Other pages J. League official site Kawasaki Frontale Kawasaki Frontale seasons
https://en.wikipedia.org/wiki/2009%20Yokohama%20F.%20Marinos%20season
2009 Yokohama F. Marinos season Competitions Player statistics Kits Other pages J.League official site Yokohama F. Marinos Yokohama F. Marinos seasons
https://en.wikipedia.org/wiki/2009%20J%C3%BAbilo%20Iwata%20season
2009 Júbilo Iwata season Competitions Player statistics Other pages J. League official site Jubilo Iwata Júbilo Iwata seasons
https://en.wikipedia.org/wiki/2009%20Kyoto%20Sanga%20FC%20season
2009 Kyoto Sanga F.C. season Competitions Player statistics Other pages J. League official site Kyoto Sanga F.C. Kyoto Sanga FC seasons
https://en.wikipedia.org/wiki/2009%20Gamba%20Osaka%20season
2009 Gamba Osaka season Competitions Player statistics Other pages J. League official site Gamba Osaka Gamba Osaka seasons
https://en.wikipedia.org/wiki/2009%20Vissel%20Kobe%20season
2009 Vissel Kobe season Competitions Player statistics Other pages J. League official site Vissel Kobe Vissel Kobe seasons
https://en.wikipedia.org/wiki/2009%20Sanfrecce%20Hiroshima%20season
2009 Sanfrecce Hiroshima season Competitions Player statistics Other pages J. League official site Sanfrecce Hiroshima Sanfrecce Hiroshima seasons
https://en.wikipedia.org/wiki/2009%20Oita%20Trinita%20season
2009 Oita Trinita season Competitions Player statistics Other pages J. League official site Oita Trinita Oita Trinita seasons
https://en.wikipedia.org/wiki/2009%20Consadole%20Sapporo%20season
2009 Consadole Sapporo season Competitions Player statistics Other pages J. League official site Consadole Sapporo Hokkaido Consadole Sapporo seasons
https://en.wikipedia.org/wiki/2009%20Vegalta%20Sendai%20season
2009 Vegalta Sendai season. Competitions Player statistics Other pages J. League official site Vegalta Sendai Vegalta Sendai seasons
https://en.wikipedia.org/wiki/2009%20Mito%20HollyHock%20season
2009 Mito HollyHock season Competitions Player statistics Other pages J. League official site Mito HollyHock Mito HollyHock seasons
https://en.wikipedia.org/wiki/2009%20Thespa%20Kusatsu%20season
2009 Thespa Kusatsu season Competitions Player statistics Other pages J. League official site Thespa Kusatsu Thespakusatsu Gunma seasons
https://en.wikipedia.org/wiki/2009%20Tokyo%20Verdy%20season
2009 Tokyo Verdy season Competitions Player statistics Other pages J. League official site Tokyo Verdy Tokyo Verdy seasons
https://en.wikipedia.org/wiki/2009%20Yokohama%20FC%20season
2009 Yokohama FC season Competitions Player statistics Other pages J. League official site Yokohama FC Yokohama FC seasons
https://en.wikipedia.org/wiki/2009%20Shonan%20Bellmare%20season
2009 Shonan Bellmare season Competitions Player statistics Other pages J. League official site Shonan Bellmare Shonan Bellmare seasons
https://en.wikipedia.org/wiki/2009%20Ventforet%20Kofu%20season
2009 Ventforet Kofu season Competitions Player statistics Other pages J. League official site Statistical information for the 2009 league. Ventforet Kofu Ventforet Kofu seasons
https://en.wikipedia.org/wiki/2009%20Kataller%20Toyama%20season
2009 Kataller Toyama season Competitions Player statistics Other pages J. League official site Kataller Toyama Kataller Toyama seasons
https://en.wikipedia.org/wiki/2009%20FC%20Gifu%20season
2009 F.C. Gifu season Competitions Player statistics Other pages J. League official site Gifu 2009
https://en.wikipedia.org/wiki/2009%20Cerezo%20Osaka%20season
2009 Cerezo Osaka season Competitions Player statistics Other pages J. League official site Cerezo Osaka Cerezo Osaka seasons
https://en.wikipedia.org/wiki/2009%20Fagiano%20Okayama%20season
2009 Fagiano Okayama season Competitions League table Player statistics Other pages J. League official site Fagiano Okayama Fagiano Okayama seasons
https://en.wikipedia.org/wiki/2009%20Tokushima%20Vortis%20season
2009 Tokushima Vortis season Competitions Player statistics Other pages J. League official site Tokushima Vortis Tokushima Vortis seasons
https://en.wikipedia.org/wiki/2009%20Ehime%20FC%20season
2009 Ehime F.C. season Competitions Player statistics Other pages J. League official site Ehime F.C. Ehime FC seasons
https://en.wikipedia.org/wiki/2009%20Avispa%20Fukuoka%20season
2009 Avispa Fukuoka season Competitions Player statistics Other pages J. League official site Avispa Fukuoka Avispa Fukuoka seasons
https://en.wikipedia.org/wiki/2009%20Sagan%20Tosu%20season
2009 Sagan Tosu season Competitions Player statistics Other pages J. League official site Sagan Tosu Sagan Tosu seasons
https://en.wikipedia.org/wiki/2009%20Roasso%20Kumamoto%20season
2009 Roasso Kumamoto season Competitions Player statistics Other pages J. League official site Roasso Kumamoto Roasso Kumamoto seasons
https://en.wikipedia.org/wiki/Energy%20in%20Slovakia
Primary energy use in Slovakia was 194 TWh and 36 TWh per million inhabitants in 2009. Statistics Energy plan Slovakia has a plan to get renewable sources of energy up to 19.2% by 2030. Energy types From 2024, following the completion of two new nuclear reactors, Slovakia will return to being a net exporter of elect...
https://en.wikipedia.org/wiki/Kummer%27s%20theorem
In mathematics, Kummer's theorem is a formula for the exponent of the highest power of a prime number p that divides a given binomial coefficient. In other words, it gives the p-adic valuation of a binomial coefficient. The theorem is named after Ernst Kummer, who proved it in a paper, . Statement Kummer's theorem st...
https://en.wikipedia.org/wiki/2010%20Vegalta%20Sendai%20season
2010 Vegalta Sendai season. Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Vegalta Sendai Vegalta Sendai seasons
https://en.wikipedia.org/wiki/2010%20Montedio%20Yamagata%20season
2010 Montedio Yamagata season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Montedio Yamagata Montedio Yamagata seasons
https://en.wikipedia.org/wiki/2010%20Kashima%20Antlers%20season
2010 Kashima Antlers season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Kashima Antlers Kashima Antlers seasons
https://en.wikipedia.org/wiki/2010%20Urawa%20Red%20Diamonds%20season
2010 Urawa Red Diamonds season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Urawa Red Diamonds Urawa Red Diamonds seasons
https://en.wikipedia.org/wiki/2010%20Omiya%20Ardija%20season
2010 Omiya Ardija season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Omiya Ardija Omiya Ardija seasons
https://en.wikipedia.org/wiki/2010%20FC%20Tokyo%20season
The 2010 FC Tokyo season was the team's 12th as a member of J.League Division 1. Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Tokyo 2010
https://en.wikipedia.org/wiki/2010%20Kawasaki%20Frontale%20season
The 2010 Kawasaki Frontale season was their sixth consecutive season in J.League 1, the top division of football in Japan. Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Kawasaki Frontale Kawasaki Frontale seasons
https://en.wikipedia.org/wiki/2010%20Yokohama%20F.%20Marinos%20season
2010 Yokohama F. Marinos season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J.League official site Yokohama F. Marinos Yokohama F. Marinos seasons
https://en.wikipedia.org/wiki/2010%20J%C3%BAbilo%20Iwata%20season
2010 Júbilo Iwata season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Jubilo Iwata Júbilo Iwata seasons
https://en.wikipedia.org/wiki/2010%20Kyoto%20Sanga%20FC%20season
The 2010 Kyoto Sanga F.C. season was the 11th season of the club in J. League Division 1. Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Kyoto Sanga F.C. Kyoto Sanga FC seasons
https://en.wikipedia.org/wiki/2010%20Cerezo%20Osaka%20season
2010 Cerezo Osaka season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Cerezo Osaka Cerezo Osaka seasons
https://en.wikipedia.org/wiki/2010%20Vissel%20Kobe%20season
2010 Vissel Kobe season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Vissel Kobe Vissel Kobe seasons
https://en.wikipedia.org/wiki/2010%20Sanfrecce%20Hiroshima%20season
2010 Sanfrecce Hiroshima season Competitions J. League 1 Emperor's Cup J. League Cup Player statistics Other pages J. League official site Sanfrecce Hiroshima Sanfrecce Hiroshima seasons
https://en.wikipedia.org/wiki/2010%20Consadole%20Sapporo%20season
2010 Consadole Sapporo season Competitions Player statistics Other pages J. League official site Consadole Sapporo Hokkaido Consadole Sapporo seasons
https://en.wikipedia.org/wiki/2010%20Mito%20HollyHock%20season
2010 Mito HollyHock season Competitions Player statistics Other pages J. League official site Mito HollyHock Mito HollyHock seasons
https://en.wikipedia.org/wiki/2010%20Thespa%20Kusatsu%20season
2010 Thespa Kusatsu season Competitions Player statistics Other pages J. League official site Thespa Kusatsu Thespakusatsu Gunma seasons
https://en.wikipedia.org/wiki/2010%20JEF%20United%20Chiba%20season
2010 JEF United Ichihara Chiba season Competitions Player statistics Other pages J. League official site JEF United Ichihara Chiba JEF United Chiba seasons
https://en.wikipedia.org/wiki/2010%20Kashiwa%20Reysol%20season
2010 Kashiwa Reysol season Competitions Player statistics Other pages J. League official site Kashiwa Reysol Kashiwa Reysol seasons
https://en.wikipedia.org/wiki/2010%20Tokyo%20Verdy%20season
2010 Tokyo Verdy season Competitions Player statistics Other pages J. League official site Tokyo Verdy Tokyo Verdy seasons
https://en.wikipedia.org/wiki/2010%20Yokohama%20FC%20season
2010 Yokohama FC season Competitions Player statistics Other pages J. League official site Yokohama FC Yokohama FC seasons