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https://en.wikipedia.org/wiki/Demographics%20of%20Aguascalientes |
Age structure 2010
Historical Data
Vital statistics
Religion
In 2010, The religious demographics of Aguascalientes were:
Evangelical Protestant – 40,987
Roman Catholic – 1,101,785
Jewish – 113
Different from Evangelical Bibles – 10,779
Unclaimed – 21,235
Others – 722
Unspecified – 9,375
See also
Mexico
States of Mexico
Geography of Mexico
List of Mexican states by area
Ranked list of Mexican states
List of Mexican states by HDI
References
Template
Aguascalientes |
https://en.wikipedia.org/wiki/Serial%20module | In abstract algebra, a uniserial module M is a module over a ring R, whose submodules are totally ordered by inclusion. This means simply that for any two submodules N1 and N2 of M, either or . A module is called a serial module if it is a direct sum of uniserial modules. A ring R is called a right uniserial ring if it is uniserial as a right module over itself, and likewise called a right serial ring if it is a right serial module over itself. Left uniserial and left serial rings are defined in an analogous way, and are in general distinct from their right counterparts.
An easy motivating example is the quotient ring for any integer . This ring is always serial, and is uniserial when n is a prime power.
The term uniserial has been used differently from the above definition: for clarification see below.
A partial alphabetical list of important contributors to the theory of serial rings includes the mathematicians Keizo Asano, I. S. Cohen, P.M. Cohn, Yu. Drozd, D. Eisenbud, A. Facchini, A.W. Goldie, Phillip Griffith, I. Kaplansky, V.V Kirichenko, G. Köthe, H. Kuppisch, I. Murase, T. Nakayama, P. Příhoda, G. Puninski, and R. Warfield. References for each author can be found in and .
Following the common ring theoretic convention, if a left/right dependent condition is given without mention of a side (for example, uniserial, serial, Artinian, Noetherian) then it is assumed the condition holds on both the left and right. Unless otherwise specified, each ring in this article is a ring with unity, and each module is unital.
Properties of uniserial and serial rings and modules
It is immediate that in a uniserial R-module M, all submodules except M and 0 are simultaneously essential and superfluous. If M has a maximal submodule, then M is a local module. M is also clearly a uniform module and thus is directly indecomposable. It is also easy to see that every finitely generated submodule of M can be generated by a single element, and so M is a Bézout module.
It is known that the endomorphism ring EndR(M) is a semilocal ring which is very close to a local ring in the sense that EndR(M) has at most two maximal right ideals. If M is assumed to be Artinian or Noetherian, then EndR(M) is a local ring.
Since rings with unity always have a maximal right ideal, a right uniserial ring is necessarily local. As noted before, a finitely generated right ideal can be generated by a single element, and so right uniserial rings are right Bézout rings. A right serial ring R necessarily factors in the form where each ei is an idempotent element and eiR is a local, uniserial module. This indicates that R is also a semiperfect ring, which is a stronger condition than being a semilocal ring.
Köthe showed that the modules of Artinian principal ideal rings (which are a special case of serial rings) are direct sums of cyclic submodules. Later, Cohen and Kaplansky determined that a commutative ring R has this property for its modules if and only if R is |
https://en.wikipedia.org/wiki/Kleetope | In geometry and polyhedral combinatorics, the Kleetope of a polyhedron or higher-dimensional convex polytope is another polyhedron or polytope formed by replacing each facet of with a shallow pyramid. Kleetopes are named after Victor Klee.
Examples
The triakis tetrahedron is the Kleetope of a tetrahedron, the triakis octahedron is the Kleetope of an octahedron, and the triakis icosahedron is the Kleetope of an icosahedron. In each of these cases the Kleetope is formed by adding a triangular pyramid to each face of the original polyhedron.
The tetrakis hexahedron is the Kleetope of the cube, formed by adding a square pyramid to each of its faces, and the pentakis dodecahedron is the Kleetope of the dodecahedron, formed by adding a pentagonal pyramid to each face of the dodecahedron.
The base polyhedron of a Kleetope does not need to be a Platonic solid. For instance, the disdyakis dodecahedron is the Kleetope of the rhombic dodecahedron, formed by replacing each rhombus face of the dodecahedron by a rhombic pyramid, and the disdyakis triacontahedron is the Kleetope of the rhombic triacontahedron. In fact, the base polyhedron of a Kleetope does not need to be Face-transitive, as can be seen from the tripentakis icosidodecahedron above.
The Goldner–Harary graph may be represented as the graph of vertices and edges of the Kleetope of the triangular bipyramid.
Definitions
One method of forming the Kleetope of a polytope is to place a new vertex outside , near the centroid of each facet. If all of these new vertices are placed close enough to the corresponding centroids, then the only other vertices visible to them will be the vertices of the facets from which they are defined. In this case, the Kleetope of is the convex hull of the union of the vertices of and the set of new vertices.
Alternatively, the Kleetope may be defined by duality and its dual operation, truncation: the Kleetope of is the dual polyhedron of the truncation of the dual of .
Properties and applications
If has enough vertices relative to its dimension, then the Kleetope of is dimensionally unambiguous: the graph formed by its edges and vertices is not the graph of a different polyhedron or polytope with a different dimension. More specifically, if the number of vertices of a -dimensional polytope is at least , then is dimensionally unambiguous.
If every -dimensional face of a -dimensional polytope is a simplex, and if , then every -dimensional face of is also a simplex. In particular, the Kleetope of any three-dimensional polyhedron is a simplicial polyhedron, a polyhedron in which all facets are triangles.
Kleetopes may be used to generate polyhedra that do not have any Hamiltonian cycles: any path through one of the vertices added in the Kleetope construction must go into and out of the vertex through its neighbors in the original polyhedron, and if there are more new vertices than original vertices then there are not enough neighbors to go around. In parti |
https://en.wikipedia.org/wiki/Max%20Sandro | Max Sandro Barbosa de Oliveira (born 3 August 1972), known simply as Max Sandro, is a Brazilian football coach and former player. He is the head coach of Patrocinense.
Club statistics
References
External links
1972 births
Living people
Brazilian men's footballers
J1 League players
Hokkaido Consadole Sapporo players
Americano FC players
Paysandu Sport Club players
Rio Branco Esporte Clube players
União São João Esporte Clube players
Ceará Sporting Club players
Associação Portuguesa de Desportos players
Botafogo de Futebol e Regatas players
Coritiba Foot Ball Club players
Esporte Clube Juventude players
Avaí FC players
Clube Náutico Capibaribe players
Esporte Clube Santo André players
Clube Atlético Juventus players
Brazilian expatriate men's footballers
Expatriate men's footballers in Japan
Men's association football defenders
Brazilian football managers
Palmas Futebol e Regatas managers
Grêmio Osasco Audax Esporte Clube managers
Associação Desportiva São Caetano managers
Footballers from Rio de Janeiro (city)
Clube Atlético Patrocinense managers |
https://en.wikipedia.org/wiki/Marlon%20%28footballer%2C%20born%201976%29 | Marlon de Souza Lopes (born September 5, 1976) is a Brazilian football player.
Club statistics
References
External links
Kawasaki Frontale
1976 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Expatriate men's footballers in Japan
Expatriate men's footballers in Turkey
J2 League players
União São João Esporte Clube players
Figueirense FC players
Kawasaki Frontale players
Men's association football forwards
Footballers from Curitiba |
https://en.wikipedia.org/wiki/Silva%20%28footballer%2C%20born%201981%29 | Kleber Rogério do Carmo Silva (born April 14, 1981) is a former Brazilian football player.
Club statistics
References
External links
1981 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
J2 League players
Shonan Bellmare players
Expatriate men's footballers in Japan
Men's association football midfielders |
https://en.wikipedia.org/wiki/Logarithmically%20concave%20sequence | In mathematics, a sequence = of nonnegative real numbers is called a logarithmically concave sequence, or a log-concave sequence for short, if holds for .
Remark: some authors (explicitly or not) add two further conditions in the definition of log-concave sequences:
is non-negative
has no internal zeros; in other words, the support of is an interval of .
These conditions mirror the ones required for log-concave functions.
Sequences that fulfill the three conditions are also called Pólya Frequency sequences of order 2 (PF2 sequences). Refer to chapter 2 of for a discussion on the two notions. For instance, the sequence satisfies the concavity inequalities but not the internal zeros condition.
Examples of log-concave sequences are given by the binomial coefficients along any row of Pascal's triangle and the elementary symmetric means of a finite sequence of real numbers.
References
See also
Unimodality
Logarithmically concave function
Logarithmically concave measure
Sequences and series |
https://en.wikipedia.org/wiki/Adinkra%20symbols%20%28physics%29 | In supergravity and supersymmetric representation theory, Adinkra symbols are a graphical representation of supersymmetric algebras. Mathematically they can be described as colored finite connected simple graphs, that are bipartite and n-regular. Their name is derived from Adinkra symbols of the same name, and they were introduced by Michael Faux and Sylvester James Gates in 2004.
Overview
One approach to the representation theory of super Lie algebras is to restrict attention to representations in one space-time dimension and having supersymmetry generators, i.e., to superalgebras. In that case, the defining algebraic relationship among the supersymmetry generators reduces to
.
Here denotes partial differentiation along the single space-time coordinate. One simple realization of the algebra consists of a single bosonic field , a fermionic field , and a generator which acts as
,
.
Since we have just one supersymmetry generator in this case, the superalgebra relation reduces to , which is clearly satisfied. We can represent this algebra graphically using one solid vertex, one hollow vertex, and a single colored edge connecting them.
See also
Feynman diagram
References
External links
http://golem.ph.utexas.edu/category/2007/08/adinkras.html
https://www.flickr.com/photos/science_and_thecity/2796684536/
https://www.flickr.com/photos/science_and_thecity/2795836787/
http://www.thegreatcourses.com/courses/superstring-theory-the-dna-of-reality.html
Supersymmetry |
https://en.wikipedia.org/wiki/Kantor | Kantor may refer to:
Kantor double in mathematics
Kantor–Koecher–Tits construction in mathematics
Kantor (surname)
See also
Kantorovich
Cantor
Cantor (disambiguation) |
https://en.wikipedia.org/wiki/Mumford%27s%20compactness%20theorem | In mathematics, Mumford's compactness theorem states that the space of compact Riemann surfaces of fixed genus g > 1 with no closed geodesics of length less than some fixed ε > 0 in the Poincaré metric is compact. It was proved by as a consequence of a theorem about the compactness of sets of discrete subgroups of semisimple Lie groups generalizing Mahler's compactness theorem.
References
Riemann surfaces
Kleinian groups
Compactness theorems |
https://en.wikipedia.org/wiki/Isaac%20Habrecht%20II | Isaac Habrecht II (1589–1633) was a professor of astronomy and mathematics in Strasbourg. He was also a doctor of medicine and philosophy.
Uranography
Isaac Habrecht II made a celestial globe and a couple of celestial planispheres. He introduced some constellations that were created by a Dutch cartographer, Plancius, and he invented now the obsolete constellation Rhombus. It followed by a French cartographer Royer. Later, it was turned into le Reticule Romboide (now Reticulum) by a French astronomer, de Lacaille.
Family
Isaac Habrecht I: his father, a horologist.
Isaac Habrecht III: his nephew, a clockmaker.
See also
Uranography
Notes
References
Warner, D. J. (1979). Sky Explored: Celestial Cartography 1500–1800. New York: Alan R. Liss; Amsterdam: Theatrum Orbis Terrum. pp. 104–105.
17th-century German astronomers
1589 births
1633 deaths |
https://en.wikipedia.org/wiki/Discrete%20two-point%20space | In topology, a branch of mathematics, a discrete two-point space is the simplest example of a totally disconnected discrete space. The points can be denoted by the symbols 0 and 1.
Properties
Any disconnected space has a continuous mapping which is not constant onto the discrete two-point space. Conversely if a nonconstant continuous mapping to the discrete two-point space exists from a topological space, the space is disconnected.
See also
List of topologies
References
Topological spaces |
https://en.wikipedia.org/wiki/Stefan%20Langerman | Stefan Langerman false Swarzberg is a Belgian computer scientist and mathematician whose research topics include computational geometry, data structures, and recreational mathematics. He is professor and co-head of the algorithms research group at the Université libre de Bruxelles (ULB) with Jean Cardinal. He is a director of research for the Belgian Fonds de la Recherche Scientifique (FRS–FNRS).
Education and career
Langerman left his Belgian secondary school at age 13 and was admitted by examination to the École polytechnique of the Université libre de Bruxelles. He studied civil engineering there for two years before switching his course of study to computer science, and earning a licenciate.
After working as a user interface programmer for the Center for Digital Molecular Biophysics in Gembloux,
he moved to the US for graduate study at Rutgers University, where he earned a master's degree and then in 2001 a PhD. His doctoral dissertation, Algorithms and Data Structures in Computational Geometry, was supervised by William Steiger.
Next, before joining ULB and FNRS, Langerman worked as a postdoctoral researcher at McGill University with computational geometry researchers Luc Devroye and Godfried Toussaint.
Research
Langerman's research is primarily in computational geometry. Known for novel and often playful results such as "Wrapping the Mozartkugel" which earned him the moniker of a computational chocolatier, Langerman has made a number of scientific advances in fields as diverse as musical similarity, polycube unfolding, computational archaeology, and protein folding. Langerman's work in data structures includes the co-invention of the queap and the introduction of the notion of retroactive data structures, a generalization of the concept of a persistent data structure. He is the author or more than 240 publications, and has led scientific missions with other western scientists to collaborate with colleagues in North Korea.
Family
Langerman is also the founder of Langerman SPRL, a Belgian colored-diamond company based on the collection of Langerman's father Arthur Langerman, a dealer of colored diamonds who is also noted as an author and as a collector of anti-semitic posters.
He is the co-author with his father of a paper on Morpion solitaire, written jointly with another father-and-son pair, Martin Demaine and Erik Demaine. Both Stefan Langerman and his father are members of the Board of Trustees of the Arthur Langerman Foundation, a non-profit organization based in Berlin, which makes its founder’s unique collection of visual antisemitica available for research, educational and exhibition purposes.
Selected publications
References
External links
Arthur Langerman Foundation
Year of birth missing (living people)
Living people
Belgian computer scientists
Belgian mathematicians
Researchers in geometric algorithms
Université libre de Bruxelles alumni
Academic staff of the Université libre de Bruxelles |
https://en.wikipedia.org/wiki/John%20Iacono | John Iacono is an American computer scientist specializing in data structures, algorithms and computational geometry. He is one of the inventors of the tango tree, the first known competitive binary search tree data structure.
Iacono obtained his M.S. at Stevens Institute of Technology and his Ph.D. in 2001 at Rutgers, the State University of New Jersey under the supervision of Michael Fredman. He is a Sloan Research Fellow and Fulbright Scholar. Formerly a professor of computer science in the New York University Tandon School of Engineering, he now works as a professor at the Université libre de Bruxelles.
References
External links
Personal web page
American computer scientists
People from Livingston, New Jersey
Rutgers University alumni
Stevens Institute of Technology alumni
Researchers in geometric algorithms
Living people
Year of birth missing (living people)
Polytechnic Institute of New York University faculty
Academic staff of the Université libre de Bruxelles
Sloan Research Fellows |
https://en.wikipedia.org/wiki/1992%20Kashima%20Antlers%20season | 1992 Kashima Antlers season
Team name
Club nameKashima Antlers FC
NicknameAntlers
Review and events
Competitions
Domestic results
Emperor's Cup
J.League Cup
Player statistics
Transfers
In:
Out:
Transfers during the season
In
none
Out
none
References
Other pages
J. League official site
Kashima Antlers official site
Kashima Antlers
Kashima Antlers seasons |
https://en.wikipedia.org/wiki/1992%20JEF%20United%20Ichihara%20season | 1992 JEF United Ichihara season
Team name
Club nameJR East Furukawa Football Club
NicknameJEF United
Review and events
Competitions
Domestic results
Emperor's Cup
J.League Cup
Player statistics
Transfers
In:
Out:
Transfers during the season
In
none
Out
none
References
Other pages
J. League official site
JEF United Ichihara Chiba official site
JEF United Ichihara
JEF United Chiba seasons |
https://en.wikipedia.org/wiki/1992%20Yokohama%20Fl%C3%BCgels%20season | 1992 Yokohama Flügels season
Team name
Club nameANA Satokogyo Football Club
NicknameA.S Flügels
Review and events
Competitions
Domestic results
Emperor's Cup
J.League Cup
Player statistics
Transfers
In:
Out:
Transfers during the season
In
none
Out
none
References
Other pages
J. League official site
Yokohama F. Marinos official web site
Yokohama Flugels
Yokohama Flügels seasons |
https://en.wikipedia.org/wiki/1992%20Gamba%20Osaka%20season | 1992 Gamba Osaka season
Team name
Club namePanasonic Gamba Osaka
NicknameGamba Osaka
Review and events
Competitions
Domestic results
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Edivaldo (on November)
Out
none
References
Other pages
J. League official site
Gamba Osaka official site
Gamba Osaka
Gamba Osaka seasons |
https://en.wikipedia.org/wiki/1995%20Kashima%20Antlers%20season | 1995 Kashima Antlers season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Carlos Mozer (from Benfica on July)
Mazinho (from Flamengo on September)
Out
Santos (to Shimizu S-Pulse on August)
Ryūzō Morioka (to Shimizu S-Pulse)
Awards
J.League Best XI: Naoki Soma
Notes
References
Other pages
J. League official site
Kashima Antlers official site
Kashima Antlers
Kashima Antlers seasons |
https://en.wikipedia.org/wiki/1995%20Urawa%20Red%20Diamonds%20season | 1995 Urawa Red Diamonds season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Kwak Kyung-Keun (from Fukuoka Blux on May)
Toninho (loan from Shimizu S-Pulse on August)
Out
Satoru Mochizuki (to Kyoto Purple Sanga on June)
Kiyonobu Okajima (to Tokyo Gas on July)
Yoshiaki Satō (to Kyoto Purple Sanga on July)
Kwak Kyung-Keun (to Fukushima FC on July)
Awards
J.League Top Scorer: Masahiro Fukuda
J.League Best XI: Guido Buchwald, Masahiro Fukuda
Notes
References
Other pages
J. League official site
Urawa Red Diamonds official site
Urawa Red Diamonds
Urawa Red Diamonds seasons |
https://en.wikipedia.org/wiki/1995%20JEF%20United%20Ichihara%20season | 1995 JEF United Ichihara season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Tarō Gotō (from Nagoya Grampus Eight)
Out
Awards
none
References
Other pages
J. League official site
JEF United Ichihara Chiba official web site
JEF United Ichihara
JEF United Chiba seasons |
https://en.wikipedia.org/wiki/1995%20Kashiwa%20Reysol%20season | 1995 Kashiwa Reysol season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out: no data
Transfers during the season
In
Takashi Kojima (from Hyōgo FC)
Kōichi Hashimoto (from Corinthians)
Tomohiro Katanosaka (from Sanfrecce Hiroshima)
Bentinho (on August)
Wolnei Caio (on August)
Out
Müller (on June)
Awards
none
References
Other pages
J. League official site
Kashiwa Reysol official site
Kashiwa Reysol
Kashiwa Reysol seasons |
https://en.wikipedia.org/wiki/1995%20J%C3%BAbilo%20Iwata%20season | 1995 Júbilo Iwata season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Dunga (from VfB Stuttgart on June)
Out
Awards
none
Notes
References
Other pages
J. League official site
Júbilo Iwata official site
Jubilo Iwata
Júbilo Iwata seasons |
https://en.wikipedia.org/wiki/1995%20Nagoya%20Grampus%20Eight%20season | 1995 Nagoya Grampus Eight season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Seiji Honda (from Chukyo University)
伊藤 亘 (from Kokushikan University)
Tomoya Yamagami (from Chukyo High School)
Out
Tarō Gotō (to JEF United Ichihara)
Takaki Kanda (retired)
Awards
J.League Most Valuable Player: Stojković
J.League Best XI: Stojković
References
Other pages
J. League official site
Nagoya Grampus official site
Nagoya Grampus Eight
Nagoya Grampus seasons |
https://en.wikipedia.org/wiki/1995%20Cerezo%20Osaka%20season | 1995 Cerezo Osaka season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out: no data
Transfers during the season
In
Kazunari Koga (from Osaka University of Commerce)
Bernardo (on September)
Out
Júnior (on June)
Kazuhito Nigorisawa (loan to Tosu Futures on July)
Kazuo Shimizu (loan to Gimnasia on July)
Akinori Nishizawa (loan to FC Volendam on July)
Awards
J.League Best XI: Hiroaki Morishima
References
Other pages
J. League official site
Cerezo Osaka official site
Cerezo Osaka
Cerezo Osaka seasons |
https://en.wikipedia.org/wiki/1995%20Gamba%20Osaka%20season | 1995 Gamba Osaka season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Out
Masahiro Wada (to Vissel Kobe)
Akira Kubota (to Kyoto Purple Sanga)
Awards
none
References
Other pages
J. League official site
Gamba Osaka official site
Gamba Osaka
Gamba Osaka seasons |
https://en.wikipedia.org/wiki/1995%20Sanfrecce%20Hiroshima%20season | 1995 Sanfrecce Hiroshima season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Toshikazu Katō (from Sanfrecce Hiroshima satellite team GK coach)
John van Loen (from Feyenoord on March)
Tsukimitsu Mizuta (from Kunimi High School)
Susumu Ōki (from Aoyama Gakuin University)
Masayuki Ōmori
Out
Tore Pedersen (on March)
Andrey (on November)
Tomohiro Katanosaka (to Kashiwa Reysol)
Awards
none
References
Other pages
J. League official site
Sanfrecce Hiroshima official site
Sanfrecce Hiroshima
Sanfrecce Hiroshima seasons |
https://en.wikipedia.org/wiki/1996%20Kashima%20Antlers%20season | 1996 Kashima Antlers season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Suntory Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Daijirō Takakuwa (from Yokohama Marinos)
Rodrigo Fabiano Mendes (from Grêmio on August)
Rodrigo José Carbone (on September)
Out
Mozer (on May)
Leonardo (on July)
Awards
J.League Most Valuable Player: Jorginho
J.League Best XI: Naoki Soma, Jorginho
References
Other pages
J. League official site
Kashima Antlers official site
Kashima Antlers
Kashima Antlers seasons |
https://en.wikipedia.org/wiki/1996%20Urawa%20Red%20Diamonds%20season | 1996 Urawa Red Diamonds season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Brian Steen Nielsen (loan from OB Odense on August)
Out
Awards
J.League Best XI: Guido Buchwald, Masayuki Okano
References
Other pages
J. League official site
Urawa Red Diamonds official site
Urawa Red Diamonds
Urawa Red Diamonds seasons |
https://en.wikipedia.org/wiki/1996%20JEF%20United%20Ichihara%20season | 1996 JEF United Ichihara season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Hiroyuki Nitao (from Yokohama Flügels)
Satoshi Yamaguchi (JEF United Ichihara youth)
Peter Bosz (from Feyenoord on September)
Out
Goran Vasilijević (to Lokomotiv Sofia on April)
Awards
none
References
Other pages
J. League official site
JEF United Ichihara Chiba official web site
JEF United Ichihara
JEF United Chiba seasons |
https://en.wikipedia.org/wiki/1996%20Kashiwa%20Reysol%20season | 1996 Kashiwa Reysol season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Out
Kensuke Nebiki (loan to Independiente)
Awards
none
References
Other pages
J. League official site
Kashiwa Reysol official site
Kashiwa Reysol
Kashiwa Reysol seasons |
https://en.wikipedia.org/wiki/1996%20Verdy%20Kawasaki%20season | 1996 Verdy Kawasaki season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Suntory Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Argel (from Internacional on May)
Keiji Ishizuka (loan return from Mamoré)
Magrão (from Coritiba FC on August)
Out
Keiji Ishizuka (loan to Mamoré)
Ruy Ramos (to Kyoto Purple Sanga)
Donizete (on August)
Shinji Fujiyoshi (to Kyoto Purple Sanga)
Caíco (on October)
Shingi Ono (loan to Denso)
Awards
J.League Top Scorer: Kazuyoshi Miura
J.League Best XI: Kazuyoshi Miura
Notes
References
Other pages
J. League official site
Tokyo Verdy official site
Verdy Kawasaki
Tokyo Verdy seasons |
https://en.wikipedia.org/wiki/1996%20Yokohama%20Fl%C3%BCgels%20season | 1996 Yokohama Flügels season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Denilson Antonio Paludo (on June)
Out
Takashi Sakurai (loan to Gimnasia on August)
Awards
J.League Best XI: Seigō Narazaki, Motohiro Yamaguchi, Masakiyo Maezono
References
Other pages
J. League official site
Yokohama F. Marinos official web site
Yokohama Flugels
Yokohama Flügels seasons |
https://en.wikipedia.org/wiki/1996%20J%C3%BAbilo%20Iwata%20season | 1996 Júbilo Iwata season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Out
Awards
J.League Best XI: Hiroshi Nanami
References
Other pages
J. League official site
Júbilo Iwata official site
Jubilo Iwata
Júbilo Iwata seasons |
https://en.wikipedia.org/wiki/1996%20Kyoto%20Purple%20Sanga%20season | 1996 Kyoto Purple Sanga season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Shinsuke Shiotani (from Otsuka F.C.)
Hironori Nagamine
Ruy Ramos (from Verdy Kawasaki)
Toshihiro Yamaguchi (from Gamba Osaka)
Sérgio Soares da Silva (on May)
Raudnei Aniversa Freire (on May)
Shinji Fujiyoshi (from Verdy Kawasaki)
Tomotetsu Kimura
Shigetoshi Kitamura
Masahiko Wada
Shūji Nomiyama
Out
Baltazar (on May)
Flavio (on May)
Hironori Nagamine
Shuichi Uemura
Awards
none
References
Other pages
J. League official site
Kyoto Sanga F.C. official site
Kyoto Purple Sanga
Kyoto Sanga FC seasons |
https://en.wikipedia.org/wiki/1996%20Gamba%20Osaka%20season | 1996 Gamba Osaka season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Babunski (from Lleida on July)
Out
Sergei Aleinikov (on July)
Atsushi Shirai (to Consadole Sapporo)
Toshihiro Yamaguchi (to Kyoto Purple Sanga)
Yūzo Funakoshi (loan to Telstar on July)
Awards
none
References
Other pages
J. League official site
Gamba Osaka official site
Gamba Osaka
Gamba Osaka seasons |
https://en.wikipedia.org/wiki/1996%20Cerezo%20Osaka%20season | 1996 Cerezo Osaka season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Akinori Nishizawa (loan return from FC Volendam on May)
Kazuo Shimizu (loan return from Gimnasia on July)
Guga (on August)
Out
Awards
none
References
Other pages
J.League official site
Cerezo Osaka official site
Cerezo Osaka
Cerezo Osaka seasons |
https://en.wikipedia.org/wiki/1996%20Avispa%20Fukuoka%20season | 1996 Avispa Fukuoka season
Review and events
League results summary
League results by round
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Satoshi Fujimoto (from Blaze Kumamoto)
Hideaki Mori (from Sanfrecce Hiroshima)
Takeshi Hibi (from Juntendo University)
Out
Yoshiyuki Takemoto (to Tokyo Gas)
Awards
none
References
Other pages
J.League official site
Avispa Fukuoka official site
Avispa Fukuoka
Avispa Fukuoka seasons |
https://en.wikipedia.org/wiki/1997%20Urawa%20Red%20Diamonds%20season | 1997 Urawa Red Diamonds season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Alfred Nijhuis (from MSV Duisburg on July)
Aitor Begiristain Mújica (from Deportivo La Coruña on July)
Željko Petrović (from PSV Eindhoven on November)
Out
Baur (to Tirol Innsbruck on May)
Tomoyasu Ando (loan to Avispa Fukuoka on September)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
URAWA REDS Official History 1992–2002 浦和レッズ10年史, ベースボール・マガジン社, 2002
R-File｜浦和レッドダイヤモンズ公式サイト｜URAWA RED DIAMONDS OFFICIAL WEBSITE
Other pages
J. League official site
Urawa Red Diamonds official site
Urawa Red Diamonds
Urawa Red Diamonds seasons |
https://en.wikipedia.org/wiki/Gonzalo%20Villagra | Gonzalo Andrés Villagra Lira (born 17 September 1981) is a Chilean former footballer who played as a midfielder.
Career
He retired at the end of the 2021 season.
Career statistics
Honours
Club
Unión Española
Primera División de Chile (1): 2013 Transición
References
External links
1981 births
Living people
Footballers from Santiago
Chilean men's footballers
Chile men's under-20 international footballers
Club Deportivo Universidad Católica footballers
Santiago Morning footballers
Unión Española footballers
C.D. Universidad de Concepción footballers
Club Deportivo Palestino footballers
C.D. Antofagasta footballers
Chilean Primera División players
Segunda División Profesional de Chile players
Primera B de Chile players
Men's association football midfielders |
https://en.wikipedia.org/wiki/1997%20JEF%20United%20Ichihara%20season | 1997 JEF United Ichihara season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Takayuki Sugiyama
Arnold Scholten (from Ajax on July)
Yuki Abe (JEF United Ichihara youth)
Ryohei Nishiwaki (JEF United Ichihara youth)
Out
Osamu Matsumoto
Rade (to Atlético Madrid on September)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
URAWA REDS OFFICIAL HANDBOOK 2007, 2007,
Other pages
J. League official site
JEF United Ichihara Chiba official web site
JEF United Ichihara
JEF United Chiba seasons |
https://en.wikipedia.org/wiki/1997%20Kashiwa%20Reysol%20season | 1997 Kashiwa Reysol season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Elpídio Pereira da Silva Filho (from Atlético Mineiro on May)
Kensuke Nebiki (loan return from Independiente)
Out
Antônio (on April)
Edílson (on October)
Takumi Morikawa (loan to a Brazilian club on December)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Kashiwa Reysol official site
Kashiwa Reysol
Kashiwa Reysol seasons |
https://en.wikipedia.org/wiki/1997%20Verdy%20Kawasaki%20season | 1997 Verdy Kawasaki season
Review and events
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Super Cup
International results
Asian Cup Winners' Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Kenji Honnami (from Gamba Osaka)
Carlos Alberto Costa Dias (on June)
Alcindo Sartori (on August)
Ruy Ramos (from Kyoto Purple Sanga)
Nobuyuki Zaizen (return)
Out
Toshimi Kikuchi (to Gamba Osaka)
Takanori Nunobe (to Júbilo Iwata)
Nobuhiro Takeda (to JEF United Ichihara)
Keiji Ishizuka (to Consadole Sapporo)
Shigetoshi Hasebe (to Kawasaki Frontale)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Tokyo Verdy official site
Verdy Kawasaki
Tokyo Verdy seasons |
https://en.wikipedia.org/wiki/1997%20Yokohama%20Marinos%20season | 1997 Yokohama Marinos season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Masahiro Fukazawa (loan return from River Plate on June)
Petković (from OFK Beograd on August)
Kazumasa Kawano (from Nagoya Grampus Eight)
Kazunari Okayama (from Hatsushiba Hashimoto Senior High School)
Out
Masaharu Suzuki (to Nagoya Grampus Eight)
Hideki Matsuki
Sotaro Yasunaga (loan to Lleida on August)
Awards
J.League Best XI: Masami Ihara
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Yokohama F. Marinos official site
Yokohama Marinos
Yokohama F. Marinos seasons |
https://en.wikipedia.org/wiki/1997%20Yokohama%20Fl%C3%BCgels%20season | 1997 Yokohama Flügels season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Takashi Sakurai (loan return from Gimnasia on June)
Fernando Luiz Rech (on July)
Anderson Gils de Sampaio (from Flamengo on September)
Out
Atsuhiko Mori (to Consadole Sapporo)
Awards
J.League Best XI: Motohiro Yamaguchi
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Yokohama F. Marinos official web site
Yokohama Flugels
Yokohama Flügels seasons |
https://en.wikipedia.org/wiki/1997%20Bellmare%20Hiratsuka%20season | 1997 Bellmare Hiratsuka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Satoshi Tsunami (from Avispa Fukuoka)
Hong Myung-bo (from Pohang Steelers on May)
Out
Koji Noguchi (to Kawasaki Frontale)
Awards
J.League Best XI: Hidetoshi Nakata
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Shonan Bellmare official website
Bellmare Hiratsuka
Shonan Bellmare seasons |
https://en.wikipedia.org/wiki/1997%20J%C3%BAbilo%20Iwata%20season | 1997 Júbilo Iwata season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Takanori Nunobe (from Verdy Kawasaki)
Alessandro Andrade de Oliveira (from Santos FC on August)
Out
Mabilia (on August)
Awards
J.League Most Valuable Player: Dunga
J.League Best XI: Tomoaki Ogami, Dunga, Hiroshi Nanami, Masashi Nakayama
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
1997年 試合日程・結果 | ジュビロ磐田 Jubilo IWATA
Other pages
J. League official site
Júbilo Iwata official site
Jubilo Iwata
Júbilo Iwata seasons |
https://en.wikipedia.org/wiki/1997%20Nagoya%20Grampus%20Eight%20season | 1997 Nagoya Grampus Eight season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Sanwa Bank Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Masaharu Suzuki (from Yokohama Marinos)
Valdo Cândido Filho (from Lisboa e Benfica on July)
Out
Masaru Hirayama (to Kawasaki Frontale)
Kazumasa Kawano (loan to Yokohama Marinos)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Nagoya Grampus official site
Nagoya Grampus Eight
Nagoya Grampus seasons |
https://en.wikipedia.org/wiki/1997%20Kyoto%20Purple%20Sanga%20season | 1997 Kyoto Purple Sanga season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Daniel (on April)
Yuki Hara
Nobuhiro Takeda (from Verdy Kawasaki)
Masaki Ogawa (from Kashima Antlers)
Shigetatsu Matsunaga (from Brummel Sendai)
Mineiro (on September)
Out
Edmílson (on February)
Cléber (on July)
Ruy Ramos (to Verdy Kawasaki)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Kyoto Sanga F.C. official site
Kyoto Purple Sanga
Kyoto Sanga FC seasons |
https://en.wikipedia.org/wiki/1997%20Gamba%20Osaka%20season | 1997 Gamba Osaka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Junichi Inamoto (Gamba Osaka youth)
Toshimi Kikuchi (from Verdy Kawasaki)
Yuzo Funakoshi (loan return from Telstar on June)
Toru Araiba (Gamba Osaka youth)
Karić (from Maribor on August)
Out
Kenji Honnami (to Verdy Kawasaki)
Mladen Mladenović (on June)
Awards
J.League Top Scorer: Mboma
J.League Best XI: Mboma
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
URAWA REDS OFFICIAL HANDBOOK 2003, 2003,
Other pages
J. League official site
Gamba Osaka official site
Gamba Osaka
Gamba Osaka seasons |
https://en.wikipedia.org/wiki/1997%20Cerezo%20Osaka%20season | 1997 Cerezo Osaka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Claudinho (on July)
Alex Lopes de Nascimento (on July)
Takeaki Yuhara (on July)
Makoto Fukuyama (on July)
Out
Shinichi Sato (loan to Sagan Tosu on January)
Gilmar (on July)
Manoel (to Botafogo on July)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
ヒストリー ｜ セレッソ大阪 CEREZO OSAKA OFFICIAL SITE
Other pages
J. League official site
Cerezo Osaka official site
Cerezo Osaka
Cerezo Osaka seasons |
https://en.wikipedia.org/wiki/1997%20Vissel%20Kobe%20season | 1997 Vissel Kobe season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Noriyoshi Fujiwara
Matthew Bingley (from Marconi Fairfield on July)
Budimir Vujačić (from Sporting Lisbon on August)
Out
Laudrup (on July)
Ziad (on August)
Bickel (on September)
Masaki Tsukano (to Tokyo Gas)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
試合日程 / 結果一覧 ヴィッセル神戸 | VISSEL KOBE
Other pages
J. League official site
Vissel Kobe official site
Vissel Kobe
Vissel Kobe seasons |
https://en.wikipedia.org/wiki/1997%20Sanfrecce%20Hiroshima%20season | 1997 Sanfrecce Hiroshima season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Kazuyoshi Matsunaga
Toru Yasutake (from Sanfrecce Hiroshima youth)
Minoru Ueda
Shoji Akimitsu
Takahisa Iwamura (from Sanfrecce Hiroshima youth)
Ryoji Araki
Ian Stuart Crook (from Norwich City on July)
Out
Santos (on June)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Sanfrecce Hiroshima official site
Sanfrecce Hiroshima
Sanfrecce Hiroshima seasons |
https://en.wikipedia.org/wiki/1997%20Avispa%20Fukuoka%20season | 1997 Avispa Fukuoka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
† player(s) joined the team after the opening of this season.
Transfers
In:
Out:
Transfers during the season
In
Julio Hernán Rossi (on April)
Michael Edirin Obiku (from Real Mallorca on July)
Pablo José Maqueda Andrés (from Real Oviedo on July)
Tomoyasu Ando (loan from Urawa Red Diamonds on September)
Out
Satoshi Tsunami (to Bellmare Hiratsuka)
Carracedo (on June)
Riep (on August)
Awards
none
References
J.LEAGUE OFFICIAL GUIDE 1997, 1997
J.LEAGUE OFFICIAL GUIDE 1998, 1996
J.LEAGUE YEARBOOK 1999, 1999
Other pages
J. League official site
Avispa Fukuoka official site
Avispa Fukuoka
Avispa Fukuoka seasons |
https://en.wikipedia.org/wiki/1998%20Consadole%20Sapporo%20season | 1998 Consadole Sapporo season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Consadole Sapporo
Hokkaido Consadole Sapporo seasons |
https://en.wikipedia.org/wiki/1998%20Kashima%20Antlers%20season | 1998 Kashima Antlers season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Kashima Antlers
Kashima Antlers seasons |
https://en.wikipedia.org/wiki/1998%20Urawa%20Red%20Diamonds%20season | 1998 Urawa Red Diamonds season
Competitions
Domestic results
J.League
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/1998%20JEF%20United%20Ichihara%20season | 1998 JEF United Ichihara season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
JEF United Ichihara
JEF United Chiba seasons |
https://en.wikipedia.org/wiki/1998%20Kashiwa%20Reysol%20season | 1998 Kashiwa Reysol season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Kashiwa Reysol
Kashiwa Reysol seasons |
https://en.wikipedia.org/wiki/1998%20Verdy%20Kawasaki%20season | 1998 Verdy Kawasaki season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Verdy Kawasaki
Tokyo Verdy seasons |
https://en.wikipedia.org/wiki/1998%20Yokohama%20Marinos%20season | 1998 Yokohama Marinos season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Yokohama Marinos
Yokohama F. Marinos seasons |
https://en.wikipedia.org/wiki/1998%20Yokohama%20Fl%C3%BCgels%20season | 1998 Yokohama Flügels season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Yokohama Flugels
Yokohama Flügels seasons |
https://en.wikipedia.org/wiki/1998%20Bellmare%20Hiratsuka%20season | 1998 Bellmare Hiratsuka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Bellmare Hiratsuka
Shonan Bellmare seasons |
https://en.wikipedia.org/wiki/1998%20J%C3%BAbilo%20Iwata%20season | 1998 Júbilo Iwata season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Jubilo Iwata
Júbilo Iwata seasons |
https://en.wikipedia.org/wiki/1998%20Nagoya%20Grampus%20Eight%20season | 1998 Nagoya Grampus Eight season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Nagoya Grampus Eight
Nagoya Grampus seasons |
https://en.wikipedia.org/wiki/1998%20Kyoto%20Purple%20Sanga%20season | 1998 Kyoto Purple Sanga season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Kyoto Purple Sanga
Kyoto Sanga FC seasons |
https://en.wikipedia.org/wiki/1998%20Gamba%20Osaka%20season | 1998 Gamba Osaka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Gamba Osaka
Gamba Osaka seasons |
https://en.wikipedia.org/wiki/1998%20Cerezo%20Osaka%20season | 1998 Cerezo Osaka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Cerezo Osaka
Cerezo Osaka seasons |
https://en.wikipedia.org/wiki/1998%20Vissel%20Kobe%20season | 1998 Vissel Kobe season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Vissel Kobe
Vissel Kobe seasons |
https://en.wikipedia.org/wiki/1998%20Sanfrecce%20Hiroshima%20season | 1998 Sanfrecce Hiroshima season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Sanfrecce Hiroshima
Sanfrecce Hiroshima seasons |
https://en.wikipedia.org/wiki/1998%20Avispa%20Fukuoka%20season | 1998 Avispa Fukuoka season
Competitions
Domestic results
J.League
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Avispa Fukuoka
Avispa Fukuoka seasons |
https://en.wikipedia.org/wiki/Nicolas-Fran%C3%A7ois%20Canard | Nicolas-François Canard (; c. 1750 – 1833) was a French mathematician, philosopher and economist. He was one of the pioneers of applying mathematics to economic problems, foreshadowing the works of Antoine Augustin Cournot, William Stanley Jevons, and others.
Further reading
External links
Works by Nicolas-François Canard at Google Books
1750 births
1833 deaths
18th-century French mathematicians
19th-century French mathematicians
18th-century French economists
19th-century French economists |
https://en.wikipedia.org/wiki/5-cell%20honeycomb | In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified 5-cells facets in a ratio of 1:1.
Structure
Cells of the vertex figure are ten tetrahedrons and 20 triangular prisms, corresponding to the ten 5-cells and 20 rectified 5-cells that meet at each vertex. All the vertices lie in parallel realms in which they form alternated cubic honeycombs, the tetrahedra being either tops of the rectified 5-cell or the bases of the 5-cell, and the octahedra being the bottoms of the rectified 5-cell.
Alternate names
Cyclopentachoric tetracomb
Pentachoric-dispentachoric tetracomb
Projection by folding
The 5-cell honeycomb can be projected into the 2-dimensional square tiling by a geometric folding operation that maps two pairs of mirrors into each other, sharing the same vertex arrangement:
A4 lattice
The vertex arrangement of the 5-cell honeycomb is called the A4 lattice, or 4-simplex lattice. The 20 vertices of its vertex figure, the runcinated 5-cell represent the 20 roots of the Coxeter group. It is the 4-dimensional case of a simplectic honeycomb.
The A lattice is the union of five A4 lattices, and is the dual to the omnitruncated 5-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 5-cell
∪ ∪ ∪ ∪ = dual of
Related polytopes and honeycombs
The tops of the 5-cells in this honeycomb adjoin the bases of the 5-cells, and vice versa, in adjacent laminae (or layers); but alternating laminae may be inverted so that the tops of the rectified 5-cells adjoin the tops of the rectified 5-cells and the bases of the 5-cells adjoin the bases of other 5-cells. This inversion results in another non-Wythoffian uniform convex honeycomb. Octahedral prisms and tetrahedral prisms may be inserted in between alternated laminae as well, resulting in two more non-Wythoffian elongated uniform honeycombs.
Rectified 5-cell honeycomb
The rectified 4-simplex honeycomb or rectified 5-cell honeycomb is a space-filling tessellation honeycomb.
Alternate names
small cyclorhombated pentachoric tetracomb
small prismatodispentachoric tetracomb
Cyclotruncated 5-cell honeycomb
The cyclotruncated 4-simplex honeycomb or cyclotruncated 5-cell honeycomb is a space-filling tessellation honeycomb. It can also be seen as a birectified 5-cell honeycomb.
It is composed of 5-cells, truncated 5-cells, and bitruncated 5-cells facets in a ratio of 2:2:1. Its vertex figure is a tetrahedral antiprism, with 2 regular tetrahedron, 8 triangular pyramid, and 6 tetragonal disphenoid cells, defining 2 5-cell, 8 truncated 5-cell, and 6 bitruncated 5-cell facets around a vertex.
It can be constructed as five sets of parallel hyperplanes that divide space into two half-spaces. The 3-space hyperplanes contain quarter cubic honeycombs as a collection facets.
Alternate names
Cyclotruncated pentachoric tetraco |
https://en.wikipedia.org/wiki/Aviv%20Azaria | Aviv Azaria (; born November 2, 1991) is an Israeli footballer.
Club career statistics
(correct as of May 2012)
Honours
Toto Cup (Leumit)
2011
Liga Leumit
2011-12
References
External links
1991 births
Living people
Israeli men's footballers
Maccabi Netanya F.C. players
Hapoel Ramat Gan Givatayim F.C. players
Maccabi Herzliya F.C. players
Hapoel Beit She'an F.C. players
Maccabi Jaffa F.C. players
Israeli Premier League players
Liga Leumit players
Footballers from Netanya
Israeli people of Moroccan-Jewish descent
Men's association football forwards |
https://en.wikipedia.org/wiki/Ahlfors%20measure%20conjecture | In mathematics, the Ahlfors conjecture, now a theorem, states that the limit set of a finitely-generated Kleinian group is either the whole Riemann sphere, or has measure 0.
The conjecture was introduced by , who proved it in the case that the Kleinian group has a fundamental domain with a finite number of sides. proved the Ahlfors conjecture for topologically tame groups, by showing that a topologically tame Kleinian group is geometrically tame, so the Ahlfors conjecture follows from Marden's tameness conjecture that hyperbolic 3-manifolds with finitely generated fundamental groups are topologically tame (homeomorphic to the interior of compact 3-manifolds). This latter conjecture was proved, independently, by and by .
also showed that in the case when the limit set is the whole sphere, the action of the Kleinian group on the limit set is ergodic.
References
Kleinian groups
Theorems in analysis
Conjectures that have been proved |
https://en.wikipedia.org/wiki/1999%20Kashima%20Antlers%20season | 1999 Kashima Antlers season
Competitions
Domestic results
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/1999%20Urawa%20Red%20Diamonds%20season | 1999 Urawa Red Diamonds season
Competitions
Domestic results
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/1999%20JEF%20United%20Ichihara%20season | 1999 JEF United Ichihara season
Competitions
Domestic results
J.League 1
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
References
JEF United Ichihara
JEF United Chiba seasons |
https://en.wikipedia.org/wiki/1999%20Kashiwa%20Reysol%20season | 1999 Kashiwa Reysol season
Competitions
Domestic results
J.League 1
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Kashiwa Reysol
Kashiwa Reysol seasons |
https://en.wikipedia.org/wiki/1999%20Verdy%20Kawasaki%20season | 1999 Verdy Kawasaki season
Competitions
Domestic results
J.League 1
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Verdy Kawasaki
Tokyo Verdy seasons |
https://en.wikipedia.org/wiki/1999%20Yokohama%20F.%20Marinos%20season | 1999 Yokohama F. Marinos season
Competitions
Domestic results
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/1999%20J%C3%BAbilo%20Iwata%20season | 1999 Júbilo Iwata season
Competitions
Domestic results
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/1999%20Nagoya%20Grampus%20Eight%20season | 1999 Nagoya Grampus Eight season
Competitions
Domestic results
J.League 1
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Nagoya Grampus Eight
Nagoya Grampus seasons |
https://en.wikipedia.org/wiki/1999%20Kyoto%20Purple%20Sanga%20season | 1999 Kyoto Purple Sanga season
Competitions
Domestic results
J.League 1
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Kyoto Purple Sanga
Kyoto Sanga FC seasons |
https://en.wikipedia.org/wiki/1999%20Gamba%20Osaka%20season | 1999 Gamba Osaka season
Competitions
Domestic results
J. League 1
Emperor's Cup
J. League Cup
Player statistics
Other pages
J. League official site
Gamba Osaka
Gamba Osaka seasons |
https://en.wikipedia.org/wiki/1999%20Cerezo%20Osaka%20season | 1999 Cerezo Osaka season
Competitions
Domestic results
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/1999%20Vissel%20Kobe%20season | 1999 Vissel Kobe season
Competitions
Domestic results
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/1999%20Sanfrecce%20Hiroshima%20season | 1999 Sanfrecce Hiroshima season
Competitions
Domestic results
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/1999%20Avispa%20Fukuoka%20season | 1999 Avispa Fukuoka season
Competitions
Domestic results
J.League 1
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Avispa Fukuoka
Avispa Fukuoka seasons |
https://en.wikipedia.org/wiki/1999%20Consadole%20Sapporo%20season | 1999 Consadole Sapporo season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Consadole Sapporo
Hokkaido Consadole Sapporo seasons |
https://en.wikipedia.org/wiki/1999%20Vegalta%20Sendai%20season | In Japanese professional football, the 1999 Vegalta Sendai season statistics are given here.
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Vegalta Sendai
Vegalta Sendai seasons |
https://en.wikipedia.org/wiki/1999%20Montedio%20Yamagata%20season | 1999 Montedio Yamagata season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Montedio Yamagata
Montedio Yamagata seasons |
https://en.wikipedia.org/wiki/1999%20Omiya%20Ardija%20season | 1999 Omiya Ardija season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Omiya Ardija
Omiya Ardija seasons |
https://en.wikipedia.org/wiki/1999%20FC%20Tokyo%20season | 1999 FC Tokyo season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Tokyo
1999 |
https://en.wikipedia.org/wiki/1999%20Kawasaki%20Frontale%20season | 1999 Kawasaki Frontale season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Kawasaki Frontale
Kawasaki Frontale seasons |
https://en.wikipedia.org/wiki/1999%20Ventforet%20Kofu%20season | 1999 Ventforet Kofu season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Ventforet Kofu
Ventforet Kofu seasons |
https://en.wikipedia.org/wiki/1999%20Albirex%20Niigata%20season | 1999 Albirex Niigata season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Albirex Niigata
Albirex Niigata seasons |
https://en.wikipedia.org/wiki/1999%20Sagan%20Tosu%20season | 1999 Sagan Tosu season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Sagan Tosu
Sagan Tosu seasons |
https://en.wikipedia.org/wiki/1999%20Oita%20Trinita%20season | 1999 Oita Trinita season
Competitions
Domestic results
J.League 2
Emperor's Cup
J.League Cup
Player statistics
Other pages
J. League official site
Oita Trinita
Oita Trinita seasons |
https://en.wikipedia.org/wiki/2000%20Kashima%20Antlers%20season | 2000 Kashima Antlers season
Competitions
Domestic results
J.League 1
Emperor's Cup
J.League Cup
Player statistics
Other pages
J.League official site
Kashima Antlers
Kashima Antlers seasons |
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