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https://en.wikipedia.org/wiki/Tibor%20Melich%C3%A1rek | Tibor Melichárek (21 November 1976) is a Slovak professional ice hockey player.
He played with clubs including HC Slovan Bratislava in the Slovak Extraliga.
Career statistics
References
1976 births
Living people
HC Oceláři Třinec players
HC Slovan Bratislava players
HC Sparta Praha players
HK Dubnica players
HK Dukla Trenčín players
Motor České Budějovice players
ŠHK 37 Piešťany players
Slovak ice hockey forwards
Sportspeople from Topoľčany
Ice hockey people from the Nitra Region
Slovak expatriate ice hockey players in the Czech Republic |
https://en.wikipedia.org/wiki/J%C3%A1n%20Plch | Ján Plch (born 16 August 1974) is a Slovak professional ice hockey player.
He played with HC Slovan Bratislava in the Slovak Extraliga.
Career statistics
Regular season and playoffs
International
References
External links
1974 births
Living people
HC Slovan Bratislava players
Dauphins d'Épinal players
Slovak ice hockey right wingers
Ice hockey people from Liptovský Mikuláš
Slovak expatriate ice hockey players in the Czech Republic
Expatriate ice hockey players in France
Slovak expatriate sportspeople in France |
https://en.wikipedia.org/wiki/Stanislav%20%C5%A0korv%C3%A1nek | Stanislav Škorvánek (born 31 January 1996) is a Slovak professional ice hockey goaltender currently playing for HK Dukla Michalovce of the Slovak Extraliga.
Career statistics
Regular season and playoffs
International
References
External links
Living people
1996 births
Slovak ice hockey goaltenders
HC Nové Zámky players
HK Trnava players
HC 07 Detva players
HC Košice players
HC Prešov players
HK Dukla Michalovce players
MsHK Žilina players
Ice hockey people from Žilina |
https://en.wikipedia.org/wiki/Miroslav%20%C5%A0tefanka | Miroslav Štefanka (born September 23, 1973) is a Slovak professional ice hockey player who played with HC Slovan Bratislava in the Slovak Extraliga.
Career statistics
References
External links
Living people
1973 births
HC Bílí Tygři Liberec players
HC Nové Zámky players
HC Slovan Bratislava players
HK Nitra players
HK Poprad players
HK Trnava players
Slovak ice hockey centres
Ice hockey people from Nitra
Slovak expatriate ice hockey players in the Czech Republic
Slovak expatriate sportspeople in South Korea
Slovak expatriate sportspeople in Romania
Expatriate ice hockey players in South Korea
Expatriate ice hockey players in Romania |
https://en.wikipedia.org/wiki/1921%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1921 season.
Overview
It was contested by 4 teams, and Tokyo Shukyu-dan won the championship. The winning team consisted of graduates from Toshima Teachers College, Aoyama Teachers College and Tokyo Teachers College.
Results
Semifinals
Nagoya Shukyu-dan 0–4 Mikage Shukyu-dan
Yamaguchi High School (withdrew) – Tokyo Shukyu-dan
Final
References
NHK
Emperor's Cup
1921 in Japanese football |
https://en.wikipedia.org/wiki/1922%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1922 season.
Overview
It was contested by four teams, and Nagoya Shukyu-dan won the championship. The winning team consisted of graduates of Meirin High School and students of, among others, Aichi Daiichi Teachers College and Shiga Teachers College.
Results
Semifinals
Nagoya Shukyu-dan 2–1 Osaka S.C.
Hiroshima Koto-shihan 3–1 Astra Club
Final
Nagoya Shukyu-dan 1–0 Hiroshima Koto-shihan
Nagoya Shukyu-dan won the championship.
References
NHK
Emperor's Cup
1922 in Japanese football |
https://en.wikipedia.org/wiki/1923%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1923 season.
Overview
It was contested by 4 teams, and Astra Club won the championship.
Results
Semifinals
Kōbe Kōtō Shōgyō Gakkō 2–3 Nagoya Shukyu-dan
Hiroshima Daiichi Chūgaku (retired) – Astra Club
Final
Nagoya Shukyu-dan 1–2 Astra Club
Astra Club won the championship.
References
NHK
Emperor's Cup
1923 in Japanese football |
https://en.wikipedia.org/wiki/1924%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1924 season.
Overview
It was contested by 4 teams, and Rijo Club won the championship.
Results
Semifinals
Nagoya Shukyu-dan 1–4 All Mikage Shihan Club
Rijo Club 3–0 Toshima Shukyu-dan
Final
All Mikage Shihan Club 0–1 Rijo Club
Rijo Club won the championship.
References
NHK
Emperor's Cup
1924 in Japanese football |
https://en.wikipedia.org/wiki/1927%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1927 season.
Overview
It was contested by 8 teams, and Kobe Icchu Club won the championship.
Results
Quarterfinals
Kansai University 1–1 (lottery) Hokkaido University
Rijo Club 2–1 Hosei University
Kobe Icchu Club 2–0 Yoshino Club
Waseda Gakuin 1–0 Sendai Club
Semifinals
Kansai University 0–4 Rijo Club
Kobe Icchu Club 1–0 Waseda Gakuin
Final
Rijo Club 0–2 Kobe Icchu Club
Kobe Icchu Club won the championship.
References
NHK
Emperor's Cup
1927 in Japanese football |
https://en.wikipedia.org/wiki/1928%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1928 season.
Overview
It was contested by 7 teams, and Waseda University WMW won the championship.
Results
Quarterfinals
Imperial University of Kyoto 8–0 Jintsu Secondary School
Keio BRB 2–1 Hiroshima Koto-shihan
Nagoya Technical College 0–2 Waseda University WMW
Semifinals
Imperial University of Kyoto 5–0 Imperial University of Tohoku
Keio BRB 1–5 Waseda University WMW
Final
Imperial University of Kyoto 1–6 Waseda University WMW
Waseda University WMW won the championship.
References
NHK
Emperor's Cup
1928 in Japanese football |
https://en.wikipedia.org/wiki/1929%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1929 season.
Overview
It was contested by 8 teams, and Kwangaku Club won the championship.
Results
Quarterfinals
Ho-sho Club – (retired) Hiroshima Bunri University
Kwangaku Club 6–1 Toyama Teachers College
Keio University 2–0 Imperial University of Kyoto
Hosei University 3–3 (lottery) Shizuoka High School
Semifinals
Ho-sho Club 0–5 Kwangaku Club
Keio University 2–2 (lottery) Hosei University
Final
Kwangaku Club 3–0 Hosei University
Kwangaku Club won the championship.
References
NHK
Emperor's Cup
1929 in Japanese football |
https://en.wikipedia.org/wiki/1930%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1930 season.
Overview
It was contested by 4 teams, and Kwangaku Club won the championship.
Results
Semifinals
Keio BRB 6–3 Nagoya Shukyu-dan
Kwangaku Club 8–5 Ryoyo Club
Final
Keio BRB 0–3 Kwangaku Club
Kwangaku Club won the championship.
References
NHK
Emperor's Cup
1930 in Japanese football |
https://en.wikipedia.org/wiki/1931%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1931 season.
Overview
It was contested by 7 teams, and Imperial University of Tokyo LB won the championship.
Results
Quarterfinals
Kwansei Gakuin University 1–2 Imperial University of Tokyo LB
Hakodate Shukyu-dan 0–2 Nagoya Shukyu-dan
Toyama Shihan Club 1–5 Kobun Junior High School
Semifinals
II School Club 0–2 Imperial University of Tokyo LB
Nagoya Shukyu-dan 1–3 Kobun Junior High School
Final
Imperial University of Tokyo LB 5–1 Kobun Junior High School
Imperial University of Tokyo LB won the championship.
References
NHK
Emperor's Cup
1931 in Japanese football |
https://en.wikipedia.org/wiki/1932%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1932 season.
Overview
It was contested by 3 teams, and Keio Club won the championship.
Results
Semifinals
Keio Club 3–0 Sakai Secondary School Club
Final
Keio Club 5–1 Yoshino Club
Keio Club won the championship.
References
NHK
Emperor's Cup
1932 in Japanese football |
https://en.wikipedia.org/wiki/1933%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1933 season.
Overview
It was contested by 8 teams, and Tokyo OB Club won the championship.
Results
Quarterfinals
Kwansei Gakuin University 6–1 Toyama Shihan
Tokyo OB Club 2–0 Hakodate Shukyu-dan
Sendai S.C. 2–1 Shizuoka High School Club
Hiroshima Teachers 4–2 Kumamoto Shihan Shukyu-dan
Semifinals
Kwansei Gakuin University 0–2 Tokyo OB Club
Sendai S.C. 5–0 Hiroshima Teachers
Final
Tokyo OB Club 4–1 Sendai S.C.
Tokyo OB Club won the championship.
References
NHK
Emperor's Cup
1933 in Japanese football |
https://en.wikipedia.org/wiki/1935%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1935 season.
Overview
It was contested by 6 teams, and Seoul Shukyu-dan won the championship.
Results
Quarterfinals
Tokyo Bunri University 4–2 Hokkaido University
Kansai University Club 4–2 Sendai S.C.
Semifinals
Tokyo Bunri University 3–0 Kansai University Club
Seoul Shukyu-dan 6–0 Nagoya Commercial College
Final
Tokyo Bunri University 1–6 Seoul Shukyu-dan
Seoul Shukyu-dan won the championship.
References
NHK
Emperor's Cup
1935 in Japanese football |
https://en.wikipedia.org/wiki/1936%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1936 season.
Overview
It was contested by 5 teams, and Keio BRB won the championship.
Results
Quarterfinals
Poseung College 10–1 Tohoku Gakuin University
Semifinals
Poseung College 4–2 Kwansei Gakuin University
Keio BRB 13–0 Nagoya Pharmaceutical College
Final
Poseung College 2–3 Keio BRB
Keio BRB won the championship.
References
NHK
Emperor's Cup
1936 in Japanese football |
https://en.wikipedia.org/wiki/1937%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1937 season.
Overview
It was contested by 4 teams, and Keio University won the championship. Kumamoto Club withdrew before the start of the tournament.
Results
Semifinals
Kobe University of Commerce 2–1 Poseung College
Keio University 6–1 Osaka Club
Final
Kobe University of Commerce 0–3 Keio University
Keio University won the championship.
References
NHK
Emperor's Cup
1937 in Japanese football |
https://en.wikipedia.org/wiki/1938%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1938 season.
Overview
It was contested by 5 teams, and Waseda University won the championship.
Results
Quarterfinals
Kwansei Gakuin University 5–0 Nagoya Technical College
Semifinals
Kwansei Gakuin University 2–5 Keio University
Yonhi College 2–2 (lottery) Waseda University
Final
Keio University 1–4 Waseda University
Waseda University won the championship.
References
NHK
Emperor's Cup
1938 in Japanese football |
https://en.wikipedia.org/wiki/1939%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1939 season.
Overview
It was contested by 8 teams, and Keio BRB won the championship.
Results
Quarterfinals
Waseda University 6–0 Kobe Commercial University
Bosung College 4–0 Kwansei Gakuin University
Yonhi College 0–4 Keio BRB
Osaka Club 0–8 Imperial University of Kyoto
Semifinals
Waseda University 2–2 (lottery) Bosung College
Keio BRB 4–1 Imperial University of Kyoto
Final
Waseda University 2–3 Keio BRB
Keio BRB won the championship.
References
NHK
Emperor's Cup
1939 in Japanese football |
https://en.wikipedia.org/wiki/1940%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1940 season.
Overview
It was contested by 8 teams, and Keio BRB won the championship.
Results
Quarterfinals
Kansai University 1–2 Imperial University of Kyoto
Yonhi College 1–2 Waseda University WMW
Kwansei Gakuin University 1–1 (lottery) Bosung College
Imperial University of Tohoku 0–3 Keio BRB
Semifinals
Imperial University of Kyoto 1–2 Waseda University WMW
Bosung College 1–2 Keio BRB
Final
Waseda University WMW 0–1 Keio BRB
Keio BRB won the championship.
References
NHK
Emperor's Cup
1940 in Japanese football |
https://en.wikipedia.org/wiki/1946%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1946 season.
Overview
It was contested by 12 teams, and University of Tokyo LB won the championship.
Results
1st Round
University of Tokyo LB 6–1 Mazda
All Keio University 4–1 Urawa Club
Tokyo Shukyu-dan – (retired) 栃木師
All Waseda University 2–1 Shonan Club
Quarterfinals
University of Tokyo LB 3–2 All Keio University
Tokyo Shukyu-dan 1–6 All Waseda University
Kobe University of Economics Club 4–1 湯浅蓄電
学士クラブ 2–0 Kwansei Gakuin University
Semifinals
University of Tokyo LB 2–0 All Waseda University
Kobe University of Economics Club 1–2 学士クラブ
学士クラブ retired after Semifinals
Final
University of Tokyo LB 6–2 Kobe University of Economics Club
University of Tokyo LB won the championship.
References
NHK
Emperor's Cup |
https://en.wikipedia.org/wiki/1949%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1949 season.
Overview
It was contested by 5 teams, and University of Tokyo LB won the championship.
Results
Quarterfinals
Kandai Club 5–2 Aisho Club
Semifinals
University of Tokyo LB 7–1 Toyo Industries
Nittetsu Futase 0–4 Kandai Club
Final
University of Tokyo LB 5–2 Kandai Club
University of Tokyo LB won the championship.
References
NHK
Emperor's Cup |
https://en.wikipedia.org/wiki/1950%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1950 season.
Overview
It was contested by 16 teams, and All Kwangaku won the championship.
Results
1st Round
Waseda University WMW 4–2 Nagoya Soccer
Nittetsu Futase – (retired) Sapporo Club
Shiun Club 0–3 Kariya Soccer
Urawa Club 0–4 All Kwangaku
Keio University 4–0 Hiroshima Club
Tohoku Representatives (retired) – Kyoto Club
Toyama University Club 1–10 Shida Soccer
Ogaki Soccer 1–5 All Kansai University
Quarterfinals
Waseda University WMW 7–0 Nittetsu Futase
Kariya Soccer 2–4 All Kwangaku
Keio University 3–0 Kyoto Club
Shida Soccer 1–2 All Kansai University
Semifinals
Waseda University WMW 2–4 All Kwangaku
Keio University 2–0 All Kansai University
Final
All Kwangaku 6–1 Keio University
All Kwangaku won the championship.
References
NHK
Emperor's Cup
1950 in Japanese football |
https://en.wikipedia.org/wiki/1951%20Emperor%27s%20Cup | Statistics of Emperor's Cup (a Japanese association football competition) in the 1951 season.
Overview
It was contested by 14 teams, and Keio BRB won the championship.
Results
1st Round
Niraha Club 2–0 Nittetsu Futase
All Rikkyo 7–0 Morioka Soccer
Matsuyama Commercial High School 0–10 Keio BRB
Waseda University WMW 8–0 Sapporo Club
Kariya Club 1–4 Sendai Soccer
Toyama Soccer 0–1 Okayama University
Quarterfinals
All Kwangaku 2–0 Niraha Club
All Rikkyo 0–1 Keio BRB
Waseda University WMW 0–1 Sendai Soccer
Okayama University 0–9 Osaka Club
Semifinals
All Kwangaku 0–4 Keio BRB
Sendai Soccer 1–6 Osaka Club
Final
Keio BRB 3–2 Osaka Club
Keio BRB won the championship.
References
NHK
Emperor's Cup
1951 in Japanese football |
https://en.wikipedia.org/wiki/1952%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1952 season.
Overview
It was contested by 16 teams, and All Keio won the championship.
Results
1st Round
All Keio 4–0 Sendai Soccer
Toyo Industries 3–2 Rokko Club
All Rikkyo – (retired) Hokkaido
Kariya Soccer 0–2 Kwangaku Club
Shida Soccer 3–0 Toyama Soccer
Matsuyama Club 2–2 (lottery) Meiji University
Tokyo University of Education 6–0 Niraha Club
Shimabara Club 0–4 Osaka Club
Quarterfinals
All Keio 3–0 Toyo Industries
All Rikkyo 0–1 Kwangaku Club
Shida Soccer 3–0 Matsuyama Club
Tokyo University of Education 1–2 Osaka Club
Semifinals
All Keio 1–0 Kwangaku Club
Shida Soccer 1–3 Osaka Club
Final
All Keio 6–2 Osaka Club
All Keio won the championship.
References
NHK
Emperor's Cup
1952 in Japanese football |
https://en.wikipedia.org/wiki/1953%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1953 season.
Overview
It was contested by 16 teams. All Kwangaku won the final and the championship.
Results
1st Round
Toyama Club 0–2 Osaka Club
All Rikkyo 4–1 Tohoku Gakuin University
Chuo University 8–0 Kagoshima Soccer
Toyo Industries 4–0 All Doshisha University
Muroran Club (retired) – All Kwangaku
Tokyo University of Education 3–1 All Yamanashi
Matsuyama MUC 2–6 Rokko Club
All Keio 9–0 Kariya Club
Quarterfinals
Osaka Club 3–1 All Rikkyo
Chuo University 1–2 Toyo Industries
All Kwangaku 2–1 Tokyo University of Education
Rokko Club 1–3 All Keio
Semifinals
Osaka Club 3–1 Toyo Industries
All Kwangaku 2–1 All Keio
Final
Osaka Club 4–5 All Kwangaku
All Kwangaku won the championship.
References
NHK
Emperor's Cup
1953 in Japanese football |
https://en.wikipedia.org/wiki/1954%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1954 season.
Overview
It was contested by 16 teams, and Keio BRB won the championship.
Results
1st Round
Tohoku Gakuin University 2–1 Osaka Club
Keio BRB 3–0 Kagoshima University
All Rikkyo 9–1 Takamatsu Commercial Club
All Kansai University 5–0 Toyama Soccer
Zenkyodai 3–0 Kyoto University of the Arts
Kwangaku Club 9–0 Sapporo Shukyu Club
Toyo Industries 4–0 All Yamanashi
Chuo University Club 1–1 (lottery) Nippon Light Metal
Quarterfinals
Tohoku Gakuin University 1–3 Keio BRB
All Rikkyo 0–0 (lottery) All Kansai University
Zenkyodai 1–5 Kwangaku Club
Toyo Industries 3–1 Nippon Light Metal
Semifinals
Keio BRB 1–0 All Kansai University
Kwangaku Club 1–3 Toyo Industries
Final
Keio BRB 5–3 Toyo Industries
Keio BRB won the championship.
References
NHK
Emperor's Cup
Emperor's Cup |
https://en.wikipedia.org/wiki/1955%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1955 season.
Overview
It was contested by 16 teams, and All Kwangaku won the championship.
Results
1st Round
All Rikkyo 4–0 Muroran Kiren
All Kansai University 4–1 Rokko Club
Matsuyama Club 0–5 Toyo Industries
Waseda University 2–2 (lottery) Chuo University Club
Nippon Light Metal 3–1 Yawata Steel
Keio BRB 2–3 Osaka Club
Tohoku Gakuin University 4–1 Meiji University
All Kwangaku 4–0 Toyama University Club
Quarterfinals
All Rikkyo 1–0 All Kansai University
Toyo Industries 0–1 Chuo University Club
日本軽金属 1–2 Osaka Club
Tohoku Gakuin University 0–7 All Kwangaku
Semifinals
All Rikkyo 1–2 Chuo University Club
Osaka Club 0–4 All Kwangaku
Final
Chuo University Club 3–4 All Kwangaku
All Kwangaku won the championship.
References
NHK
Emperor's Cup
1955 in Japanese football |
https://en.wikipedia.org/wiki/1956%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1956 season.
Overview
It was contested by 16 teams, and Keio BRB won the championship.
Results
1st Round
Kwangaku Club 8–0 Tomioka Soccer
Hamamatsu Soccer 0–4 Keio BRB
All Muroran 0–7 Toyo Industries
All Rikkyo 2–1 Tohoku Gakuin University
Urawa Club 1–1 (lottery) All Kansai University
Chuo University Club 2–1 Kyoto Shiko
Osaka Club 5–1 Ueda Club
University of Tokyo LB 1–6 Yawata Steel
Quarterfinals
Kwangaku Club 1–2 Keio BRB
Toyo Industries 1–0 All Rikkyo
All Kansai University 1–3 Chuo University Club
Osaka Club 1–1 (lottery) Yawata Steel
Semifinals
Keio BRB 3–0 Toyo Industries
Chuo University Club 2–2 (lottery) Yawata Steel
Final
Keio BRB 4–2 Yawata Steel
Keio BRB won the championship.
References
NHK
Emperor's Cup
1956 in Japanese football |
https://en.wikipedia.org/wiki/1957%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1957 season.
Overview
It was contested by 16 teams, and Chuo University Club won the championship.
Results
1st Round
Shida Soccer 0–5 Keio BRB
Toyama Club 0–6 Kwangaku Club
Meiyu Club 1–1 (lottery) Kwangaku Club
Hiroshima Exclusive 0–2 Chuo University Club
All Hokkaido 0–7 All Waseda University
Kyoto Shiko 0–3 Toyo Industries
Tohoku Gakuin University 0–4 Yawata Steel
Tomioka Soccer 1–1 All Rikkyo
Quarterfinals
Keio BRB 1–3 Kwangaku Club
Kwangaku Club 1–2 Chuo University Club
All Waseda University 1–2 Toyo Industries
Yawata Steel 0–1 All Rikkyo
Semifinals
Kwangaku Club 0–0 (lottery) Chuo University Club
Toyo Industries 1–0 All Rikkyo
Final
Chuo University Club 2–1 Toyo Industries
Chuo University Club won the championship.
References
NHK
Emperor's Cup
1957 in Japanese football |
https://en.wikipedia.org/wiki/1958%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1958 season.
Overview
It was contested by 16 teams, and Kwangaku Club won the championship.
Results
1st Round
Toyama Shukyu-dan 0–6 Chuo University Club
Meiyu Club 0–2 Shida Soccer
Hakodate City Hall 1–6 Keio BRB
Nambu Shukyu-dan 0–18 Kwangaku Club
Nagoya Soccer 0–3 Toyo Industries
Kyoto Shiko 2–3 University of Tokyo LB
Kwangaku Club 5–1 Ehime Club
Waseda University 1–3 Yawata Steel
Quarterfinals
Chuo University Club 0–1 Shida Soccer
Keio BRB 0–1 Kwangaku Club
Toyo Industries 0–1 University of Tokyo LB
Kwangaku Club 0–2 Yawata Steel
Semifinals
Shida Soccer 0–3 Kwangaku Club
University of Tokyo LB 0–1 Yawata Steel
Final
Kwangaku Club 2–1 Yawata Steel
Kwangaku Club won the championship.
References
NHK
Emperor's Cup
1958 in Japanese football |
https://en.wikipedia.org/wiki/1959%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1959 season.
Overview
It was contested by 16 teams, and Kwangaku Club won the championship.
Results
1st Round
All Rikkyo 1–0 Kwangaku Club
Yawata Steel 0–1 Nagoya Club
Toyama Soccer 0–13 Chuo University
Meiyu Club 3–2 Kyoto Shiko
All Tohoku Gakuin University 0–6 Furukawa Electric
Zen Hokkai Club 0–10 Kwangaku Club
All Osaka University of Economics 0–2 Toyo Industries
All Matsuyama Commercial High School 0–9 Keio BRB
Quarterfinals
All Rikkyo 3–4 Nagoya Club
Chuo University 4–1 Meiyu Club
Furukawa Electric 1–2 Kwangaku Club
Toyo Industries 1–0 Keio BRB
Semifinals
Nagoya Club 0–3 Chuo University
Kwangaku Club 2–0 Toyo Industries
Final
Chuo University 0–1 Kwangaku Club
Kwangaku Club won the championship.
References
NHK
Emperor's Cup
1959 in Japanese football |
https://en.wikipedia.org/wiki/1960%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1960 season.
Overview
It was contested by 16 teams, and Furukawa Electric won the championship.
Results
1st Round
Hitachi 3–0 Kyoto Shiko
Nagoya Club 3–2 Dot Well
Toyo Industries 2–1 Kwangaku Club
Motomo Club 0–8 Keio BRB
Meiji University 5–0 Nambu Shukyu-dan
Kwangaku Club 7–0 Toyama Soccer
Yawata Steel 1–0 Osaka Club
Teijin Matsuyama 0–6 Furukawa Electric
Quarterfinals
Hitachi 7–0 Nagoya Club
Toyo Industries 1–2 Keio BRB
Meiji University 1–0 Kwangaku Club
Yawata Steel 0–3 Furukawa Electric
Semifinals
Hitachi 2–2 (lottery) Keio BRB
Meiji University 1–6 Furukawa Electric
Final
Keio BRB 0–4 Furukawa Electric
Furukawa Electric won the championship.
References
NHK
Emperor's Cup
1960 in Japanese football |
https://en.wikipedia.org/wiki/1961%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1961 season.
Overview
It was contested by 16 teams, and Furukawa Electric won the championship.
Results
1st round
Toyo Industries 3–0 Waseda University WMW
Hitachi 3–0 Nagoya Bank
Toyama Soccer 0–2 Chuo University
Teijin Matsuyama 2–3 Kwangaku Club
Kwangaku Club 0–3 Shida Soccer
Furukawa Electric 2–1 Nippon Dunlop
Sendai Ikuen Gakuen High School 2–4 Rikkyo University
Hokkai Gakuen University 1–12 Yawata Steel
Quarterfinals
Toyo Industries 1–0 Hitachi
Chuo University 2–1 Kwangaku Club
Shida Soccer 1–3 Furukawa Electric
Rikkyo University 1–4 Yawata Steel
Semifinals
Toyo Industries 0–0 (lottery) Chuo University
Furukawa Electric 2–1 Yawata Steel
Final
Chuo University 2–3 Furukawa Electric
Furukawa Electric won the championship.
References
NHK
Emperor's Cup
1961 in Japanese football |
https://en.wikipedia.org/wiki/1962%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1962 season.
Overview
It was contested by 16 teams, and Chuo University won the championship.
Results
1st Round
Shida Soccer 2–3 Osaka Soccer
Hokuyo Mokuzai Club 0–7 Chuo University
Waseda University 5–1 Kyoto Shiko
Toyo Industries 2–0 All Mitsubishi
Kwansei Gakuin University 10–0 Toyama Soccer
Furukawa Electric 5–0 Tohoku Gakuin University
Yawata Steel 2–1 Kansai University
Meiji University 5–1 Teijin Matsuyama
Quarterfinals
Osaka Soccer 0–2 Chuo University
Waseda University 0–1 Toyo Industries
Kwansei Gakuin University 0–1 Furukawa Electric
Yawata Steel 4–2 Meiji University
Semifinals
Chuo University 1–0 Toyo Industries
Furukawa Electric 3–2 Yawata Steel
Final
Chuo University 2–1 Furukawa Electric
Chuo University won the championship.
References
NHK
Emperor's Cup
1962 in Japanese football |
https://en.wikipedia.org/wiki/1963%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1963 season. The cup was held between January 12 and January 15, 1964.
Overview
It was contested by 7 teams, and Waseda University won the championship.
Results
Quarterfinals
Sumitomo Rubber 2–1 Chuo University
Hitachi 1–1 (lottery) Yawata Steel
Waseda University 2–1 Toyo Industries
Semifinals
Sumitomo Rubber 0–4 Hitachi
Waseda University 2–1 Kansai University
Final
Hitachi 0–3 Waseda University
Waseda University won the championship.
References
NHK
Emperor's Cup
1964 in Japanese football |
https://en.wikipedia.org/wiki/1964%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1964 season. The cup was held between January 11 and January 17, 1965.
Overview
It was contested by 10 teams, and Yawata Steel and Furukawa Electric won the championship.
Results
Group A
Group B
Final
Yawata Steel 0–0 Furukawa Electric
Yawata Steel and Furukawa Electric won the championship.
References
NHK
Emperor's Cup
1965 in Japanese football |
https://en.wikipedia.org/wiki/1965%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1965 season. The cup was held between January 13 and January 16, 1966.
Overview
It was contested by 8 teams, and Toyo Industries won the championship.
Results
Quarterfinals
Kwansei Gakuin University 1–0 Furukawa Electric
Toyo Industries 5–0 Chuo University
Yawata Steel 5–1 Meiji University
Waseda University 3–0 Hitachi
Semifinals
Kwansei Gakuin University 0–7 Toyo Industries
Yawata Steel 4–3 Waseda University
Final
Toyo Industries 3–2 Yawata Steel
Toyo Industries won the championship.
References
NHK
Emperor's Cup
Emperor's Cup |
https://en.wikipedia.org/wiki/1966%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1966 season. The cup was held between January 12 and January 15, 1967.
Overview
It was contested by 8 teams, and Waseda University won the championship.
Results
Quarterfinals
Toyo Industries 3–1 Kwansei Gakuin University
Furukawa Electric 2–0 Chuo University
Yawata Steel 2–0 Tokyo University of Education
Mitsubishi Motors 1–3 Waseda University
Semifinals
Toyo Industries 1–0 Furukawa Electric
Yawata Steel 1–2 Waseda University
Final
Toyo Industries 2–3 Waseda University
Waseda University won the championship.
References
NHK
Emperor's Cup
Emperor's Cup |
https://en.wikipedia.org/wiki/1967%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1967 season. The cup was held between January 11 and January 14, 1968.
Overview
It was contested by 8 teams, and Toyo Industries won the championship.
Results
Quarterfinals
Kansai University 1–0 Nippon Kokan
Tokyo University of Education 1–3 Mitsubishi Motors
Chuo University 4–5 Yanmar Diesel
Kwansei Gakuin University 0–5 Toyo Industries
Semifinals
Kansai University 0–5 Mitsubishi Motors
Yanmar Diesel 1–2 Toyo Industries
Final
Mitsubishi Motors 0–1 Toyo Industries
Toyo Industries won the championship.
References
NHK
Emperor's Cup
Emperor's Cup |
https://en.wikipedia.org/wiki/1968%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1968 season. The cup was held between December 25, 1968 and January 1, 1969.
Overview
It was contested by 8 teams, and Yanmar Diesel won the championship.
Results
Quarterfinals
Toyo Industries 0–2 Waseda University
Mitsubishi Motors 5–0 Kansai University
Yanmar Diesel 6–0 Rikkyo University
Yawata Steel 1–0 Tokyo University of Education
Semifinals
Waseda University 3–4 Mitsubishi Motors
Yanmar Diesel 3–1 Yawata Steel
Final
Mitsubishi Motors 0–1 Yanmar Diesel
Yanmar Diesel won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1969 in Japanese football |
https://en.wikipedia.org/wiki/1969%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1969 season.
Overview
It was contested by 8 teams, and Toyo Industries won the championship.
Results
Quarterfinals
Keio University 2–4 Furukawa Electric
Hosei University 1–6 Toyo Industries
Rikkyo University 3–3 (lottery) Yawata Steel
Meiji University 0–1 Mitsubishi Motors
Semifinals
Furukawa Electric 0–1 Toyo Industries
Rikkyo University 2–1 Mitsubishi Motors
Final
Toyo Industries 4–1 Rikkyo University
Toyo Industries won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1970 in Japanese football |
https://en.wikipedia.org/wiki/1970%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1970 season.
Overview
It was contested by 8 teams, and Yanmar Diesel won the championship.
Results
Quarterfinals
Toyo Industries 4–0 Fukuoka University
Hitachi 5–1 Osaka University of Commerce
Mitsubishi Motors 4–0 Osaka University of Economics
Yanmar Diesel 4–2 Hosei University
Semifinals
Toyo Industries 2–1 Hitachi
Mitsubishi Motors 2–2 (lottery) Yanmar Diesel
Final
Toyo Industries 1–2 Yanmar Diesel
Yanmar Diesel won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1971 in Japanese football |
https://en.wikipedia.org/wiki/1971%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1971 season.
Overview
It was contested by 8 teams, and Mitsubishi Motors won the championship.
Results
Quarterfinals
Yanmar Diesel 3–1 Waseda University
Nippon Steel 6–1 Chuo University
Hitachi 2–1 Tokyo University of Education
Mitsubishi Motors 4–1 Keio University
Semifinals
Yanmar Diesel 7–1 Nippon Steel
Hitachi 1–2 Mitsubishi Motors
Final
Yanmar Diesel 1–3 Mitsubishi Motors
Mitsubishi Motors won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1972 in Japanese football |
https://en.wikipedia.org/wiki/1972%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1972 season.
Overview
It was contested by 24 teams. Starting this season, the Japan Soccer League First Division clubs entered automatically while those in the Second Division participated in regional qualifying tournaments with clubs in the regional leagues and with university teams, which lost their automatic spots.
Hitachi won the championship.
Results
First round
Kofu Club 4–1 Nippon Steel Muroran
Chuo University 3–1 Nippon Steel Kamaishi
Osaka Sangyo University 1–3 Eidai Industries
Dainichi Cable Industries 3–2 Fukuoka University
NTT Kinki 1–3 Toyota Motors
Waseda University 2–3 Nippon Light Metal
Tanabe Pharmaceuticals 3–1 Teijin Matsuyama
Keio University 4–2 Toyama Club
Second round
Hitachi 2–0 Kofu Club
Towa Estate Development 2–0 Chuo University
Nippon Kokan 3–1 Eidai Industries
Mitsubishi Motors 9–0 Dainichi Cable Industries
Nippon Steel 4–0 Toyota Motors
Toyo Industries 2–0 Nippon Light Metal
Furukawa Electric 4–2 Tanabe Pharmaceuticals
Yanmar Diesel 4–0 Keio University
Quarter-finals
Hitachi 4–0 Towa Estate Development
Nippon Kokan 3–0 Mitsubishi Motors
Nippon Steel 2–2 (PK 4–5) Toyo Industries
Furukawa Electric 1–4 Yanmar Diesel
Semi-finals
Hitachi 2–0 Nippon Kokan
Toyo Industries 0–1 Yanmar Diesel
Final
Hitachi 2–1 Yanmar Diesel
Hitachi won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1973 in Japanese football |
https://en.wikipedia.org/wiki/1973%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1973 season.
Overview
It was contested by 26 teams, and Mitsubishi Motors won the championship.
Results
1st round
Chuo University 3–0 Nippon Steel Kamaishi
Otsuka Pharmaceutical 3–1 Osaka University of Economics
2nd round
Chuo University 1–4 Toyota Motors
Eidai Industries 1–0 Dainichi Cable Industries
Meijo University 0–1 Waseda University
Kyushu Sangyo University 2–3 Osaka University of Commerce
Kyoto Shiko 2–2 (PK 2–3) Honda
Sapporo University 0–4 Nippon Sport Science University
Teihens FC 0–8 Hosei University
Tanabe Pharmaceuticals 2–1 Otsuka Pharmaceutical
3rd round
Nippon Kokan 3–0 Toyota Motors
Eidai Industries 0–1 Toyo Industries
Furukawa Electric 2–2 (PK 3–1) Waseda University
Osaka University of Commerce 0–3 Hitachi
Yanmar Diesel 4–1 Honda
Nippon Sport Science University 0–2 Towa Estate Development
Mitsubishi Motors 1–1 (PK 5–4) Hosei University
Tanabe Pharmaceuticals 0–3 Nippon Steel
Quarterfinals
Nippon Kokan 3–4 Toyo Industries
Furukawa Electric 1–3 Hitachi
Yanmar Diesel 1–0 Towa Estate Development
Mitsubishi Motors 2–0 Nippon Steel
Semifinals
Toyo Industries 0–2 Hitachi
Yanmar Diesel 0–1 Mitsubishi Motors
Final
Hitachi 1–2 Mitsubishi Motors
Mitsubishi Motors won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1974 in Japanese football |
https://en.wikipedia.org/wiki/1974%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1974 season.
Overview
It was contested by 26 teams, and Yanmar Diesel won the championship.
Results
1st round
Chuo University 6–0 Iwate Teachers
Teijin Matsuyama 1–2 NTT Kinki
2nd round
Chuo University 0–2 Nippon Kokan
Doshisha University 1–2 Nagoya Club
Honda 1–2 Waseda University
Kyushu Sangyo University 0–2 Osaka University of Commerce
Sapporo University 2–1 Hosei University
Mitsui Sosen 0–4 Tanabe Pharmaceuticals
Teihens FC 0–5 Yomiuri
Eidai Industries 2–2 (PK 3–0) NTT Kinki
3rd round
Furukawa Electric 0–1 Nippon Kokan
Nagoya Club 2–5 Yanmar Diesel
Toyota Motors 1–0 Waseda University
Osaka University of Commerce 1–2 Mitsubishi Motors
Hitachi 9–0 Sapporo University
Tanabe Pharmaceuticals 0–1 Toyo Industries
Towa Estate Development 3–2 Yomiuri
Eidai Industries 1–1 (PK 3–1) Nippon Steel
Quarterfinals
Nippon Kokan 0–3 Yanmar Diesel
Toyota Motors 1–2 Mitsubishi Motors
Hitachi 1–2 Toyo Industries
Towa Estate Development 0–1 Eidai Industries
Semifinals
Yanmar Diesel 2–0 Mitsubishi Motors
Toyo Industries 1–2 Eidai Industries
Final
Yanmar Diesel 2–1 Eidai Industries
Yanmar Diesel won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1975 in Japanese football |
https://en.wikipedia.org/wiki/1975%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1975 season.
Overview
It was contested by 26 teams, and Hitachi won the championship.
Results
1st round
Nippon Kokan 2–0 Waseda University
Tanabe Pharmaceuticals 1–3 Eidai Industries
Osaka University of Health and Sport Sciences 1–2 Chuo University
Yamaha Motors 2–0 Hosei University
Kyushu Sangyo University 1–0 NTT Kinki
Hakodate Soccer 0–6 Chuo University
Mitsubishi Oil 0–1 Teijin Matsuyama
Nissei Resin Industry 1–3 Meiji University
Toyota Motors 2–2 (PK 5–4) Osaka University of Commerce
Nippon Steel Kamaishi 0–4 Fujita Industries
2nd round
Nippon Kokan 1–1 (PK 2–3) Eidai Industries
Chuo University 0–3 Hitachi
Nippon Steel 2–1 Yamaha Motors
Kyushu Sangyo University 0–4 Yanmar Diesel
Mitsubishi Motors 1–0 Chuo University
Teijin Matsuyama 0–2 Toyo Industries
Furukawa Electric 3–1 Meiji University
Toyota Motors 0–1 Fujita Industries
Quarterfinals
Eidai Industries 0–1 Hitachi
Nippon Steel 0–2 Yanmar Diesel
Mitsubishi Motors 2–1 Toyo Industries
Furukawa Electric 1–2 Fujita Industries
Semifinals
Hitachi 1–0 Yanmar Diesel
Mitsubishi Motors 0–1 Fujita Industries
Final
Hitachi 2–0 Fujita Industries
Hitachi won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1976 in Japanese football |
https://en.wikipedia.org/wiki/1976%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1976 season.
Overview
It was contested by 26 teams, and Furukawa Electric won the championship.
Results
1st round
Fukuoka University 2–1 Tanabe Pharmaceuticals
Nippon Kokan 1–3 Yomiuri
Teijin Matsuyama 0–4 Toyo Industries
Yamaguchi Teachers 0–2 Kyoto Shiko
Nihon University 0–2 Yamaha Motors
Chuo University 2–0 Gonohe Town Hall
Yanmar Club 2–1 Honda
Fujita Industries 5–0 Dainichi Cable Industries
Niigata Eleven 1–4 Toyota Motors
Sapporo University 0–6 Waseda University
2nd round
Yanmar Diesel 5–2 Fukuoka University
Yomiuri 1–2 Toyo Industries
Eidai 2–0 Kyoto Shiko
Yamaha Motors 3–3 (PK 2–3) Nippon Steel
Hitachi 2–0 Chuo University
Yanmar Club 0–2 Furukawa Electric
Fujita Industries 3–0 Toyota Motors
Waseda University 0–1 Mitsubishi Motors
Quarterfinals
Yanmar Diesel 2–1 Toyo Industries
Eidai 0–1 Nippon Steel
Hitachi 2–3 Furukawa Electric
Fujita Industries 2–0 Mitsubishi Motors
Semifinals
Yanmar Diesel 1–0 Nippon Steel
Furukawa Electric 4–0 Fujita Industries
Final
Yanmar Diesel 1–4 Furukawa Electric
Furukawa Electric won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1977 in Japanese football |
https://en.wikipedia.org/wiki/1977%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1977 season.
Overview
It was contested by 28 teams, and Fujita Industries won the championship.
Results
1st round
Dainichi Cable Industries 4–2 Mitsui Sosen
Toyota Motors 1–5 Tokyo University of Agriculture
Teijin Matsuyama 0–2 Nippon Steel
Hitachi 0–1 Yamaha Motors
Gonohe Town Hall 2–7 Yomiuri
Fukuoka University 1–0 NTT Kinki
Waseda University 5–1 Sapporo University
Osaka University of Health and Sport Sciences 7–0 Fukui Bank
Sumitomo Metals 3–2 Nippon Kokan
Toyo Industries 3–1 Kyushu Sangyo University
Osaka University of Commerce 1–3 Fujitsu
Honda 1–0 Nissan Motors
2nd round
Furukawa Electric 3–0 Dainichi Cable Industries
Tokyo University of Agriculture 3–1 Nippon Steel
Yamaha Motors 0–1 Yomiuri
Fukuoka University 1–5 Yanmar Diesel
Fujita Industries 3–2 Waseda University
Osaka University of Health and Sport Sciences 0–1 Sumitomo Metals
Toyo Industries 1–0 Fujitsu
Honda 0–2 Mitsubishi Motors
Quarterfinals
Furukawa Electric 3–2 Tokyo University of Agriculture
Yomiuri 0–2 Yanmar Diesel
Fujita Industries 4–3 Sumitomo Metals
Toyo Industries 0–4 Mitsubishi Motors
Semifinals
Furukawa Electric 0–1 Yanmar Diesel
Fujita Industries 2–1 Mitsubishi Motors
Final
Yanmar Diesel 1–4 Fujita Industries
Fujita Industries won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1978 in Japanese football |
https://en.wikipedia.org/wiki/1978%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1978 season.
Overview
It was contested by 28 teams, and Mitsubishi Motors won the championship.
Results
1st round
Yanmar Club 4–1 Mazda Auto Hiroshima
Fujitsu 4–0 Kyushu Sangyo University
Osaka Sangyo University 0–4 Nippon Kokan
Yanmar Diesel 6–0 Osaka University of Economics
Fukuoka University 0–4 Nissei Resin Industry
Tanabe Pharmaceuticals 2–1 Teijin
Gonohe Town Hall 1–5 Hosei University
Honda 2–1 Kokushikan University
Sumitomo Metals 0–1 Furukawa Electric
Nippon Steel 1–3 Sapporo University
Saitama Teachers 1–3 Yomiuri
Toyota Motors 0–1 Waseda University
2nd round
Fujita Industries 5–1 Yanmar Club
Fujitsu 1–0 Nippon Kokan
Yanmar Diesel 7–1 Nissei Resin Industry
Tanabe Pharmaceuticals 2–3 Toyo Industries
Hitachi 2–1 Hosei University
Honda 0–3 Furukawa Electric
Sapporo University 2–0 Yomiuri
Waseda University 1–3 Mitsubishi Motors
Quarterfinals
Fujita Industries 3–0 Fujitsu
Yanmar Diesel 2–2 (PK 2–4) Toyo Industries
Hitachi 1–1 (PK 3–5) Furukawa Electric
Sapporo University 0–5 Mitsubishi Motors
Semifinals
Fujita Industries 0–3 Toyo Industries
Furukawa Electric 0–1 Mitsubishi Motors
Final
Toyo Industries 0–1 Mitsubishi Motors
Mitsubishi Motors won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1979 in Japanese football |
https://en.wikipedia.org/wiki/1979%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1979 season.
Overview
It was contested by 28 teams, and Fujita Industries won the championship.
Results
1st round
Gonohe Town Hall 0–3 Toho Titanium
Nissan Motors 2–1 Kyushu Sangyo University
Yanmar Club 2–2 (PK 4–2) Nippon Steel
Hitachi 4–2 Toyota Motors
Waseda University 2–1 Tanabe Pharmaceuticals
Tokyo University of Agriculture 0–1 Teijin
Tsukuba University 3–1 Sapporo University
Mazda Auto Hiroshima 1–0 Hokusetsu Kemari-dan
Fukuoka University 0–1 Toyo Industries
Nippon Kokan 1–0 Juntendo University
Nissei Resin Industry 0–4 Furukawa Electric
Honda 3–0 Osaka University of Commerce
2nd round
Mitsubishi Motors 3–0 Toho Titanium
Nissan Motors 2–3 Yanmar Club
Hitachi 1–0 Waseda University
Teijin 0–7 Yomiuri
Fujita Industries 3–1 Tsukuba University
Mazda Auto Hiroshima 0–5 Toyo Industries
Nippon Kokan 0–0 (PK 4–5) Furukawa Electric
Honda 1–2 Yanmar Diesel
Quarterfinals
Mitsubishi Motors 2–0 Yanmar Club
Hitachi 4–0 Yomiuri
Fujita Industries 5–0 Toyo Industries
Furukawa Electric 0–3 Yanmar Diesel
Semifinals
Mitsubishi Motors 4–1 Hitachi
Fujita Industries 3–1 Yanmar Diesel
Final
Mitsubishi Motors 1–2 Fujita Industries
Fujita Industries won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1980 in Japanese football |
https://en.wikipedia.org/wiki/1980%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1980 season.
Overview
It was contested by 30 teams, and Mitsubishi Motors won the championship.
Results
1st round
Kyushu Sangyo University 2–3 Teijin
Fujitsu 2–2 (PK 8–9) Osaka University of Economics
Hyōgo Teachers 0–1 Nippon Steel
Toyo Industries 2–0 Fukuoka University
Mazda Auto Hiroshima 2–3 Yamaha Motors
Honda 2–3 Tanabe Pharmaceuticals
Osaka University of Health and Sport Sciences 0–2 Yanmar Diesel
Hitachi 4–1 Matsushima Club
Komazawa University 2–1 Nissan Motors
Hosei University 2–1 Fujieda City Hall
Tsukuba University 0–1 Furukawa Electric
Mitsubishi Motors 3–0 Furukawa Electric Chiba
Nippon Steel Muroran 0–3 Toshiba
Nissei Resin Industry 0–2 Sumitomo Metals
2nd round
Yomiuri 6–1 Teijin
Osaka University of Economics 0–1 Nippon Steel
Toyo Industries 3–2 Yamaha Motors
Tanabe Pharmaceuticals 1–0 Yanmar Diesel
Hitachi 3–1 Komazawa University
Hosei University 0–3 Furukawa Electric
Mitsubishi Motors 3–1 Toshiba
Sumitomo Metals 0–8 Fujita Industries
Quarterfinals
Yomiuri 3–2 Nippon Steel
Toyo Industries 0–0 (PK 3–4) Tanabe Pharmaceuticals
Hitachi 0–0 (PK 3–1) Furukawa Electric
Mitsubishi Motors 2–1 Fujita Industries
Semifinals
Yomiuri 1–1 (PK 3–5) Tanabe Pharmaceuticals
Hitachi 1–2 Mitsubishi Motors
Final
Tanabe Pharmaceuticals 0–1 Mitsubishi Motors
Mitsubishi Motors won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1981 in Japanese football |
https://en.wikipedia.org/wiki/1981%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1981 season.
Overview
It was contested by 28 teams, and Nippon Kokan won the championship.
Results
1st round
Teijin 1–3 Toyota Motors
Mazda 1–2 Kyushu Sangyo University
Dainichi Cable Industries 0–2 Nippon Steel
Yomiuri 2–0 Osaka University of Commerce
Kawasaki Steel Mizushima 1–3 Matsushita Electric
Waseda University 6–0 Gonohe Town Hall
Fukuoka University 1–4 Doshisha University
Tsukuba University 6–0 YKK
Fujitsu 1–3 Hitachi
Yamaha Motors 1–2 Nissan Motors
Aichi Gakuin University 0–3 Honda
Nippon Kokan 6–1 Fujita Industries
2nd round
Yanmar Diesel 2–1 Toyota Motors
Kyushu Sangyo University 1–3 Nippon Steel
Yomiuri 1–0 Matsushita Electric
Waseda University 0–3 Mitsubishi Motors
Furukawa Electric 11–4 Doshisha University
Tsukuba University 3–1 Hitachi
Nissan Motors 1–2 Honda
Nippon Kokan 2–1 Fujita Industries
Quarterfinals
Yanmar Diesel 1–2 Nippon Steel
Yomiuri 0–0 (PK 7–6) Mitsubishi Motors
Furukawa Electric 1–2 Tsukuba University
Honda 2–4 Nippon Kokan
Semifinals
Nippon Steel 0–0 (PK 3–5) Yomiuri
Tsukuba University 0–1 Nippon Kokan
Final
Yomiuri 0–2 Nippon Kokan
Nippon Kokan won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1982 in Japanese football |
https://en.wikipedia.org/wiki/1982%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1982 season.
Overview
It was contested by 28 teams, and Yamaha Motors won the championship.
Results
1st round
Nippon Sport Science University 1–1 (PK 2–1) Morioka Zebra
Nippon Kokan 2–0 Yamaguchi Teachers
Osaka University of Commerce 1–2 Mazda
Furukawa Electric 3–1 Fukuoka University
Kyoto Sangyo University 0–4 Nippon Steel
Teijin 0–2 Matsushita Electric
Tanabe Pharmaceuticals 2–1 Daikyo Oil
Toshiba 1–2 Yamaha Motors
Fujitsu 4–3 Honda
Hitachi 3–1 Kokushikan University
Sapporo University 1–2 Nissan Motors
Nissei Plastic Industry 1–2 Tokyo University of Agriculture
2nd round
Fujita Industries 6–2 Nippon Sport Science University
Nippon Kokan 1–2 Mazda
Furukawa Electric 3–0 Nippon Steel
Matsushita Electric 2–4 Yanmar Diesel
Mitsubishi Motors 2–0 Tanabe Pharmaceuticals
Yamaha Motors 1–0 Fujitsu
Hitachi 3–1 Nissan Motors
Tokyo University of Agriculture 0–2 Yomiuri
Quarterfinals
Fujita Industries 3–0 Mazda
Furukawa Electric 0–0 (PK 2–3) Yanmar Diesel
Mitsubishi Motors 0–1 Yamaha Motors
Hitachi 0–1 Yomiuri
Semifinals
Fujita Industries 1–0 Yanmar Diesel
Yamaha Motors 2–0 Yomiuri
Final
Fujita Industries 0–1 Yamaha Motors
Yamaha Motors won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1983 in Japanese football |
https://en.wikipedia.org/wiki/1983%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1983 season.
Overview
It was contested by 28 teams, and Nissan Motors won the championship.
Results
1st round
Fukushima FC 0–5 Fujitsu
Nippon Steel 2–2 (PK 2–3) Teijin
Tanabe Pharmaceuticals 1–7 Nissan Motors
Yomiuri 4–0 Aichi Gakuin University
Waseda University 0–2 Yamaha Motors
Niigata Eleven 1–9 Osaka University of Health and Sport Sciences
Nippon Kokan 4–0 Sapporo University
Honda 4–2 Toshiba
Sumitomo Metals 2–1 Hitachi
Mazda 5–0 Fukuoka University
Matsushita Electric 3–1 Kawasaki Steel Mizushima
Osaka University of Commerce 2–1 Daikyo Oil
2nd round
Mitsubishi Motors 1–2 Fujitsu
Teijin 1–4 Nissan Motors
Yomiuri 1–0 Yamaha Motors
Osaka University of Health and Sport Sciences 1–1 (PK 1–3) Fujita Industries
Furukawa Electric 2–3 Nippon Kokan
Honda 3–0 Sumitomo Metals
Mazda 2–0 Matsushita Electric
Osaka University of Commerce 0–0 (PK 2–3) Yanmar Diesel
Quarterfinals
Fujitsu 0–6 Nissan Motors
Yomiuri 0–0 (PK 2–4) Fujita Industries
Nippon Kokan 2–1 Honda
Mazda 2–3 Yanmar Diesel
Semifinals
Nissan Motors 3–2 Fujita Industries
Nippon Kokan 0–1 Yanmar Diesel
Final
Nissan Motors 2–0 Yanmar Diesel
Nissan Motors won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1984 in Japanese football |
https://en.wikipedia.org/wiki/1984%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1984 season.
Overview
It was contested by 32 teams, and Yomiuri won the championship.
Results
1st round
Nissan Motors 6–0 Mazda Auto Hiroshima
NTT Kinki 0–1 Mazda
Kyushu Sangyo University 1–2 Tanabe Pharmaceuticals
Fukuoka University 1–1 (PK 4–3) Mitsubishi Motors
Honda 2–2 (PK 5–4) Tsukuba University
Toyota Motors 2–3 Hitachi
Kokushikan University 3–2 Sapporo University
Fukushima FC 0–6 Furukawa Electric
Yomiuri 2–1 Osaka University of Health and Sport Sciences
Nippon Steel 1–4 Teijin
Nippon Kokan 0–1 Matsushita Electric
Nissei Plastic Industry 0–3 Yanmar Diesel
Fujita Industries 4–0 Sumitomo Metals
Aichi Gakuin University 3–1 TDK
Seino Transportation 1–3 Toshiba
Kofu Club 0–3 Yamaha Motors
2nd round
Nissan Motors 5–2 Mazda
Tanabe Pharmaceuticals 1–0 Fukuoka University
Honda 1–0 Hitachi
Kokushikan University 0–1 Furukawa Electric
Yomiuri 5–0 Teijin
Matsushita Electric 0–2 Yanmar Diesel
Fujita Industries 4–0 Aichi Gakuin University
Toshiba 0–2 Yamaha Motors
Quarterfinals
Nissan Motors 2–1 Tanabe Pharmaceuticals
Honda 0–1 Furukawa Electric
Yomiuri 2–0 Yanmar Diesel
Fujita Industries 0–1 Yamaha Motors
Semifinals
Nissan Motors 0–0 (PK 3–5) Furukawa Electric
Yomiuri 2–1 Yamaha Motors
Final
Furukawa Electric 0–2 Yomiuri
Yomiuri won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1985 in Japanese football |
https://en.wikipedia.org/wiki/1985%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1985 season.
Overview
It was contested by 32 teams, and Nissan Motors won the championship.
Results
1st round
Fujita Industries 2–1 Osaka University of Health and Sport Sciences
Tanabe Pharmaceuticals 3–1 Teijin
Yanmar Diesel 3–0 Cosmo Oil
Matsushita Electric 2–3 Mitsubishi Motors
Yamaha Motors 2–0 Chuo University
Nissei Resin 1–3 All Nippon Airways
Kokushikan University 2–3 Toyota Motors
Toshiba 1–2 Honda
Nippon Kokan 3–0 Tsukuba University
Sapporo University 0–2 Toho Titanium
Hitachi 6–0 Fukushima
Niigata Eleven 0–6 Nissan Motors
Yomiuri 3–0 Seino Transportation
Mazda 1–0 Sumitomo Metals
Doshisha University 0–2 Yawata Steel
Mitsubishi Chemical Kurosaki 0–9 Furukawa Electric
2nd round
Fujita Industries 1–0 Tanabe Pharmaceuticals
Yanmar Diesel 0–1 Mitsubishi Motors
Yamaha Motors 1–0 All Nippon Airways
Toyota Motors 2–1 Honda
Nippon Kokan 3–1 Toho Titanium
Hitachi 1–2 Nissan Motors
Yomiuri 0–1 Mazda
Yawata Steel 0–2 Furukawa Electric
Quarterfinals
Fujita Industries 2–0 Mitsubishi Motors
Yamaha Motors 1–2 Toyota Motors
Nippon Kokan 2–2 (PK 2–3) Nissan Motors
Mazda 2–1 Furukawa Electric
Semifinals
Fujita Industries 2–0 Toyota Motors
Nissan Motors 5–0 Mazda
Final
Fujita Industries 0–2 Nissan Motors
Nissan Motors won the championship Excluded from the Asian Cup Winners' Cup 1986.
References
NHK
Emperor's Cup
Emperor's Cup
1986 in Japanese football |
https://en.wikipedia.org/wiki/1986%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1986 season.
Overview
It was contested by 32 teams, and Yomiuri won the championship.
Results
1st round
Furukawa Electric (withdrew) – Hyōgo Teachers
Teijin 0–1 Osaka Gas
Yomiuri 3–1 Fukuoka University
Yawata Steel 1–1 (PK 8–7) Hitachi
Nissan Motors 3–0 Kawasaki Steel Mizushima
NTT Kansai 0–4 Mazda
Seino Transportation SC 3–2 Tanabe Pharmaceuticals
Kochi University 0–3 Fujita Industries
Honda 3–0 Kofu
All Nippon Airways 3–1 Fujieda City Hall S.C.
Matsushita Electric 1–1 (PK 3–1) Toyota Motors
Toshiba 0–1 Yamaha Motors
Mitsubishi Motors 4–2 Sapporo University
Waseda University 0–1 Yanmar Diesel
Kokushikan University 0–0 (PK 5–3) Akita City Hall
F.C. Ueda Gentian 1–7 Nippon Kokan
2nd round
Hyōgo Teachers 1–1 (PK 3–2) Osaka Gas
Yomiuri 2–1 Yawata Steel
Nissan Motors 2–0 Mazda
Seino Transportation SC 0–2 Fujita Industries
Honda 5–1 All Nippon Airways
Matsushita Electric 0–2 Yamaha Motors
Mitsubishi Motors 0–1 Yanmar Diesel
Kokushikan University 1–6 Nippon Kokan
Quarterfinals
Hyōgo Teachers 0–5 Yomiuri
Nissan Motors 2–0 Fujita Industries
Honda 2–2 (PK 2–4) Yamaha Motors
Yanmar Diesel 0–3 Nippon Kokan
Semifinals
Yomiuri 1–1 (PK 4–3) Nissan Motors
Yamaha Motors 0–1 Nippon Kokan
Final
Yomiuri 2–1 Nippon Kokan
Yomiuri won the championship Excluded from the Asian Cup Winners' Cup 1987.
References
NHK
Emperor's Cup
Emperor's Cup
1987 in Japanese football |
https://en.wikipedia.org/wiki/1987%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1987 season.
Overview
It was contested by 32 teams, and Yomiuri won the championship.
Results
1st round
Yomiuri 5–0 Doshisha University
NTT Shikoku 0–2 Seino Transportation
Honda 2–0 Fujitsu
Niigata Eleven 0–9 Fujita Industries
Nissan Motors 3–1 Cosmo Oil
Hitachi 1–0 Yamaha Motors
TDK 1–10 Tokai University
Hakodate Mazda 1–7 Furukawa Electric
Mitsubishi Motors 1–0 NTT Kanto
Sapporo University 0–3Toshiba
Sumitomo Metals 5–0 Kyoto Sangyo University
Osaka University of Commerce 1–1 (PK 4–5) Yanmar Diesel
Mazda 3–0 JATCO
Kawasaki Steel Mizushima 1–5 Toyota Motors
Yawata Steel 0–2 Matsushita Electric
Fukuoka University 0–2 Nippon Kokan
2nd round
Yomiuri 3–0 Seino Transportation
Honda 0–0 (PK 8–7) Fujita Industries
Nissan Motors 4–0 Hitachi
Tokai University 0–5 Furukawa Electric
Mitsubishi Motors 0–1 Toshiba
Sumitomo Metals 3–1 Yanmar Diesel
Mazda 3–1 Toyota Motors
Matsushita Electric 0–0 (PK 4–2) Nippon Kokan
Quarterfinals
Yomiuri 1–1 (PK 4–2) Honda
Nissan Motors 1–1 (PK 2–3) Furukawa Electric
Toshiba 1–1 (PK 3–5) Sumitomo Metals
Mazda 0–0 (PK 4–2) Matsushita Electric
Semifinals
Yomiuri 0–0 (PK 4–2) Furukawa Electric
Sumitomo Metals 1–2 Mazda
Final
Yomiuri 2–0 Mazda
Yomiuri won the championship Excluded from the Asian Cup Winners' Cup 1988.
References
NHK
Emperor's Cup
Emperor's Cup
1988 in Japanese football |
https://en.wikipedia.org/wiki/1988%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1988 season.
Overview
It was contested by 32 teams, and Nissan Motors won the championship.
Results
1st round
Yamaha Motors 3–0 Toho Titanium
Fujitsu 1–2 Matsushita Electric
Cosmo Oil 2–1 Toshiba
Aoyama Gakuin University 0–8 Honda
Yomiuri 4–1 TDK
Komazawa University 2–1 YKK
Yanmar Diesel 8–1 Sapporo University
Tsukuba University 0–2 Nissan Motors
Mitsubishi Motors 1–0 Mazda
Doshisha University 1–2 Sumitomo Metals
Osaka University of Commerce 3–4 Yawata Steel
Mitsubishi Chemical Kurosaki 1–5 Fujita Industries
Furukawa Electric 1–0 Chuo Bohan
Tanabe Pharmaceuticals 4–1 Teijin
All Nippon Airways 5–0 Osaka University of Health and Sport Sciences
Toyota Motors 1–0 NKK
2nd round
Yamaha Motors 2–0 Matsushita Electric
Cosmo Oil 0–2 Honda
Yomiuri 3–0 Komazawa University
Yanmar Diesel 0–1 Nissan Motors
Mitsubishi Motors 1–2 Sumitomo Metals
Yawata Steel 0–7 Fujita Industries
Furukawa Electric 1–1 (PK 2–4) Tanabe Pharmaceuticals
All Nippon Airways 3–1 Toyota Motors
Quarterfinals
Yamaha Motors 2–0 Honda
Yomiuri 1–1 (PK 2–3) Nissan Motors
Sumitomo Metals 0–2 Fujita Industries
Tanabe Pharmaceuticals 0–1 All Nippon Airways
Semifinals
Yamaha Motors 0–1 Nissan Motors
Fujita Industries 2–1 All Nippon Airways
Final
Nissan Motors 3–1 Fujita Industries
Nissan Motors won the championship Excluded from the Asian Cup Winners' Cup 1989.
References
NHK
Emperor's Cup
Emperor's Cup
1989 in Japanese football |
https://en.wikipedia.org/wiki/1989%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1989 season.
Overview
It was contested by 32 teams, and Nissan Motors won the championship.
Results
1st round
Nissan Motors 3–1 Tokai University
Cosmo Oil 0–0 (PK 2–0) Mitsubishi Motors
Honda 4–3 Tsukuba University
Sapporo Mazda 1–4 Yanmar Diesel
Yomiuri 4–0 Osaka Gas
Mitsubishi Chemical Kurosaki 2–5 Hitachi
Yawata Steel 1–0 Kyoto Shiko
Otsuka Pharmaceutical 1–2 Fujita Industries
Yamaha Motors 5–1 Yomiuri Junior
PJM Futures 5–0 TDK
Toshiba 1–0 NTT Kansai
Juntendo University 1–0 Furukawa Electric
Matsushita Electric 0–1 Mazda
Tanabe Pharmaceuticals 1–2 NKK
Meiji University 4–2 YKK
Fujieda City Hall 0–2 All Nippon Airways
2nd round
Nissan Motors 4–0 Cosmo Oil
Honda 1–3 Yanmar Diesel
Yomiuri 1–0 Hitachi
Yawata Steel 1–3 Fujita Industries
Yamaha Motors 1–0 PJM Futures
Toshiba 3–0 Juntendo University
Mazda 1–0 NKK
Meiji University 0–3 All Nippon Airways
Quarterfinals
Nissan Motors 1–0 Yanmar Diesel
Yomiuri 1–0 Fujita Industries
Yamaha Motors 2–1 Toshiba
Mazda 1–2 All Nippon Airways
Semifinals
Nissan Motors 1–0 Yomiuri
Yamaha Motors 1–1 (PK 4–2) All Nippon Airways
Final
Nissan Motors 3–2 Yamaha Motors
Nissan Motors won the championship Excluded from the Asian Cup Winners' Cup 1990.
References
NHK
Emperor's Cup
Emperor's Cup
1990 in Japanese football |
https://en.wikipedia.org/wiki/1990%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1990 season.
Overview
It was contested by 32 teams, and Matsushita Electric won the championship.
Results
1st round
Nissan Motors 10–0 Sapporo Mazda
Mazda 2–1 Hitachi
Toshiba 5–0 Tanabe Pharmaceuticals
Mitsubishi Chemical Kurosaki 0–2 NKK
Yamaha Motors 2–0 Tsukuba University
Cosmo Oil 0–5 Fujita Industries
Kochi University 0–2 Seino Transportation
Kyoto Sangyo University 0–4 Furukawa Electric
All Nippon Airways 3–0 NEC Yamagata
National Institute of Fitness and Sports in Kanoya 1–2 Osaka University of Health and Sport Sciences
Mitsubishi Motors 5–0 Aichi Gakuin University
Fujitsu 1–2 Honda
Yanmar Diesel 0–3 Juntendo University
YKK 2–9 Matsushita Electric
Kokushikan University 2–1 Osaka University of Commerce
Waseda University 0–3 Yomiuri
2nd round
Nissan Motors 2–1 Mazda
Toshiba 5–1 NKK
Yamaha Motors 2–0 Fujita Industries
Seino Transportation 0–4 Furukawa Electric
All Nippon Airways 3–1 Osaka University of Health and Sport Sciences
Mitsubishi Motors 0–0 (PK 5–6) Honda
Juntendo University 0–2 Matsushita Electric
Kokushikan University 1–1 (PK 4–2) Yomiuri
Quarterfinals
Nissan Motors 2–1 Toshiba
Yamaha Motors 0–1 Furukawa Electric
All Nippon Airways 1–2 Honda
Matsushita Electric 2–1 Kokushikan University
Semifinals
Nissan Motors 1–0 Furukawa Electric
Honda 1–2 Matsushita Electric
Final
Nissan Motors 0–0 (PK 3–4) Matsushita Electric
Matsushita Electric won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1991 in Japanese football |
https://en.wikipedia.org/wiki/1992%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1992 season.
Overview
It was contested by 32 teams, and Yokohama Marinos won the championship.
This was the first edition featuring the rebranded top-flight clubs for the emerging J. League.
Results
1st round
Verdy Kawasaki 2–0 Fukuoka University
Yamaha Motors 4–0 Toho Titanium SC
Sanfrecce Hiroshima 2–0 Doshisha University
Mitsubishi Motors Mizushima 0–5 Gamba Osaka
Urawa Red Diamonds 2–1 Anfini Sapporo
YKK 0–4 Fujitsu
NKK 2–3 Yanmar Diesel
Nippon Steel Yawata 1–8 Kashima Antlers
Nagoya Grampus Eight 1–3 Fujita Industries
Honda 1–0 NEC Yamagata
Keio University 3–2 Kyoto Shiko
Otsuka Pharmaceutical 0–3 JEF United Ichihara
Yokohama Marinos 8–0 Kanazawa Club
Osaka University of Commerce 3–4 Yokohama Flügels
Toshiba 5–6 Chuo Bohan
Kawasaki Steel 0–3 Shimizu S-Pulse
2nd round
Verdy Kawasaki 1–0 Yamaha Motors
Sanfrecce Hiroshima 2–3 Gamba Osaka
Urawa Red Diamonds 3–0 Fujitsu
Yanmar Diesel 1–2 Kashima Antlers
Fujita Industries 3–1 Honda
Keio University 0–1 JEF United Ichihara
Yokohama Marinos 4–2 Yokohama Flügels
Chuo Bohan 1–4 Shimizu S-Pulse
Quarterfinals
Verdy Kawasaki 1–1 (PK 4–2) Gamba Osaka
Urawa Red Diamonds 2–1 Kashima Antlers
Fujita Industries 1–0 JEF United Ichihara
Yokohama Marinos 4–3 Shimizu S-Pulse
Semifinals
Verdy Kawasaki 2–2 (PK 4–3) Urawa Red Diamonds
Fujita Industries 0–1 Yokohama Marinos
Final
Verdy Kawasaki 1–2 Yokohama Marinos
Yokohama Marinos won the championship.
References
NHK
Emperor's Cup
Emp
1993 in Japanese football |
https://en.wikipedia.org/wiki/1993%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1993 season.
Overview
It was contested by 32 teams, and Yokohama Flügels won the championship.
Results
1st round
Kashima Antlers 1–1 (PK 3–2) NKK
Tohoku Electric Power 3–2 Sanyo Sumoto S.C.
Nagoya Grampus Eight 2–1 Yamaha Motors
Kochi University 0–5 Gamba Osaka
JEF United Ichihara 3–0 Osaka University of Commerce
Toshiba 2–1 Fukuoka University
Seino Transportation SC 1–2 Chuo University
Sapporo University 0–6 Shimizu S-Pulse
Yokohama Marinos 3–1 Hitachi
Doshisha University 2–4 Kawasaki Steel
Waseda University 3–0 Hokuriku Electric Power
National Institute of Fitness and Sports in Kanoya 1–2 Sanfrecce Hiroshima
Yokohama Flügels 4–1 Tanabe Pharmaceuticals
Otsuka Pharmaceutical 0–3 Urawa Red Diamonds
Cosmo Oil Yokkaichi 1–0 Fujita Industries
Hokkaido Electric Power 0–5 Verdy Kawasaki
2nd round
Kashima Antlers 6–1 Tohoku Electric Power
Nagoya Grampus Eight 3–2 Gamba Osaka
JEF United Ichihara 2–0 Toshiba
Chuo University 0–1 Shimizu S-Pulse
Yokohama Marinos 2–1 Kawasaki Steel
Waseda University 0–2 Sanfrecce Hiroshima
Yokohama Flügels 4–3 Urawa Red Diamonds
Cosmo Oil Yokkaichi 0–2 Verdy Kawasaki
Quarterfinals
Kashima Antlers 5–3 Nagoya Grampus Eight
JEF United Ichihara 1–2 Shimizu S-Pulse
Yokohama Marinos 1–3 Sanfrecce Hiroshima
Yokohama Flügels 2–1 Verdy Kawasaki
Semifinals
Kashima Antlers 1–0 Shimizu S-Pulse
Sanfrecce Hiroshima 1–2 Yokohama Flügels
Final
Kashima Antlers 2–6 Yokohama Flügels
Yokohama Flügels won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1994 in Japanese football |
https://en.wikipedia.org/wiki/1994%20Emperor%27s%20Cup | This article documents statistics from the Emperor's Cup of the 1994 season.
Overview
There were 32 teams that participated in the contest, and Bellmare Hiratsuka won the championship.
Results
1st round
Sanfrecce Hiroshima 1–0 Cosmo Oil Yokkaichi
Kofu 1–0 Sapporo University
Yokohama Marinos 2–0 Hokuriku Electric Power
NEC Yamagata 2–3 Nagoya Grampus Eight
Yokohama Flügels 1–0 PJM Futures
Senshu University 1–3 Urawa Red Diamonds
Cerezo Osaka 1–0 Komazawa University
Fujieda Blux 1–4 Verdy Kawasaki
Kashima Antlers 0–2 Tokyo Gas
Kokushikan University 1–0 Ritsumeikan University
Bellmare Hiratsuka 5–1 Toa Corporation
Toshiba 0–2 JEF United Ichihara
Júbilo Iwata 1–3 Otsuka Pharmaceutical
Hannan University 1–3 Gamba Osaka
Nippon Denso 1–3 Kyoto Purple Sanga
Kawasaki Steel 2–1 Shimizu S-Pulse
2nd round
Sanfrecce Hiroshima 2–0 Kofu
Yokohama Marinos 1–0 Nagoya Grampus Eight
Yokohama Flügels 0–2 Urawa Red Diamonds
Cerezo Osaka 1–0 Verdy Kawasaki
Tokyo Gas 1–0 Kokushikan University
Bellmare Hiratsuka 2–1 JEF United Ichihara
Otsuka Pharmaceutical 0–5 Gamba Osaka
Kyoto Purple Sanga 3–1 Kawasaki Steel
Quarterfinals
Sanfrecce Hiroshima 0–3 Yokohama Marinos
Urawa Red Diamonds 0–1 Cerezo Osaka
Tokyo Gas 1–2 Bellmare Hiratsuka
Gamba Osaka 2–0 Kyoto Purple Sanga
Semifinals
Yokohama Marinos 1–2 Cerezo Osaka
Bellmare Hiratsuka 3–2 Gamba Osaka
Final
Cerezo Osaka 0–2 Bellmare Hiratsuka
Bellmare Hiratsuka won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1995 in Japanese football |
https://en.wikipedia.org/wiki/1995%20Emperor%27s%20Cup | Statistics of Emperor's Cup in the 1995 season.
Overview
It was contested by 32 teams, and Nagoya Grampus Eight won the championship.
Results
1st round
Yokohama Marinos 3–2 Honda
Fujitsu 2–5 Fukuoka Blux
Cerezo Osaka 2–0 Hannan University
Tokyo Gas 0–1 Kashima Antlers
Júbilo Iwata 5–1 Hiroshima University
Vissel Kobe 2–0 Shimizu S-Pulse
Yokohama Flügels 3–2 Tosu Futures
Kyoto Purple Sanga 1–2 Nagoya Grampus Eight
Urawa Red Diamonds 2–0 Sapporo University
Toshiba 1–2 Kashiwa Reysol
Gamba Osaka 3–1 Hokuriku Electric Power
Brummell Sendai 2–1 JEF United Ichihara
Bellmare Hiratsuka 3–0 Nippon Denso
Komazawa University 2–3 Sanfrecce Hiroshima
Seino Transportation SC 0–2 Tsukuba University
Otsuka Pharmaceutical 0–1 Verdy Kawasaki
2nd round
Yokohama Marinos 0–1 Fukuoka Blux
Cerezo Osaka 1–2 Kashima Antlers
Júbilo Iwata 0–2 Vissel Kobe
Yokohama Flügels 1–4 Nagoya Grampus Eight
Urawa Red Diamonds 1–0 Kashiwa Reysol
Gamba Osaka 4–1 Brummell Sendai
Bellmare Hiratsuka 0–1 Sanfrecce Hiroshima
Tsukuba University 0–4 Verdy Kawasaki
Quarterfinals
Fukuoka Blux 2–3 Kashima Antlers
Vissel Kobe 0–2 Nagoya Grampus Eight
Urawa Red Diamonds 1–2 Gamba Osaka
Sanfrecce Hiroshima 1–0 Verdy Kawasaki
Semifinals
Kashima Antlers 1–5 Nagoya Grampus Eight
Gamba Osaka 1–2 Sanfrecce Hiroshima
Final
Nagoya Grampus Eight 3–0 Sanfrecce Hiroshima
Nagoya Grampus Eight won the championship.
References
NHK
Emperor's Cup
Emperor's Cup
1996 in Japanese football |
https://en.wikipedia.org/wiki/Mathematics%20Made%20Difficult | Mathematics Made Difficult is a book by Carl E. Linderholm that uses advanced mathematical methods to prove results normally shown using elementary proofs. Although the aim is largely satirical, it also shows the non-trivial mathematics behind operations normally considered obvious, such as numbering, counting, and factoring integers. Linderholm discusses these seemingly-obvious ideas using concepts like categories and monoids.
As an example, the proof that 2 is a prime number starts:
It is easily seen that the only numbers between 0 and 2, including 0 but excluding 2, are 0 and 1. Thus the remainder left by any number on division by 2 is either 0 or 1. Hence the quotient ring Z/2Z, where 2Z is the ideal in Z generated by 2, has only the elements [0] and [1], where these are the images of 0 and 1 under the canonical quotient map. Since [1] must be the unit of this ring, every element of this ring except [0] is a unit, and the ring is a field ...
References
Mathematics books
Satirical books
1972 non-fiction books |
https://en.wikipedia.org/wiki/Enemies%20and%20Allies | Enemies and Allies is an accessory for the 3rd edition of the Dungeons & Dragons fantasy role-playing game.
Contents
Enemies and Allies is a supplement which includes statistics and descriptions for a large variety of pregenerated non-player characters for 3rd edition Dungeons & Dragons.
Publication history
Enemies and Allies was published in October 2001, and was designed by Bruce R. Cordell, Jeff Grubb, David Noonan, and Skip Williams. Cover art is by Jeff Easley, with interior art by Dennis Cramer, Todd Lockwood, Wayne Reynolds, and Sam Wood.
Reception
Shannon Appelcline notes that the NPC book Enemies and Allies was one of many early D&D third edition releases which "did not have a strong setting".
Reviews
References
Dungeons & Dragons sourcebooks
Role-playing game supplements introduced in 2001 |
https://en.wikipedia.org/wiki/J.%20W.%20Graham%20Medal | The J.W. Graham Medal in Computing and Innovation is an award given annually by the University of Waterloo and the University of Waterloo Faculty of Mathematics to "recognize the leadership and many innovative contributions made to the University of Waterloo, and to the Canadian computer industry." Recipients of this award receive a gold medal and certificate. Recipients are graduates of the University of Waterloo Faculty of Mathematics from business, education, or government.
The medal was established in 1994 to recognize Canadian computer industry veteran James Wesley Graham (known as "Wes Graham"). Graham was born in Copper Cliff, Ontario on January 17, 1932. He enrolled in the University of Toronto in 1950, and graduated with a BA in Mathematics and Physics in 1954, and an MA in Mathematics in 1955. He worked as a systems engineer for IBM in Canada, and then joined the faculty of the University of Waterloo in 1959. A team of his students developed the WATFOR series of compilers starting in 1965. He formed a computer science research group, known as the "Computer Systems Group," to distribute and maintain the software, and was also responsible for several spin-off organizations, including Watcom in 1981. He was made a member of the Order of Canada in April 1999. He died later that year on August 23, 1999. In 2001 his papers formed the start of the J. Wesley Graham History of Computer Science Research Collection at the University of Waterloo library.
Recipients
The following people have received the J. W. Graham Medal:
1995 - Ian McPhee
1996 - William Reeves
1997 - James G. Mitchell
1998 - Dan Dodge
1999 - Kim Davidson
2000 - Paul Van Oorschot
2001 - Terry Stepien
2002 - Peter Savich
2003 - F. David Boswell
2004 - David P. Yach
2005 - Garth A. Gibson
2006 - Deanne Farrar
2007 - Ricardo Baeza-Yates
2008 - Eric Veach
2009 - Craig Eisler
2010 - Steven Woods
2011 - Zack Urlocker
2012 - Stephen M. Watt
2013 - Jay Steele
2014 - Jeromy Carriere
2015 - Tom Duff
2016 - Tas Tsonis
2017 - Vicki Iverson
2018 - Alex Nicolaou
2019 - Eldon Sprickerhoff
See also
List of computer science awards
Prizes named after people
References
University of Waterloo
Computer science awards
Information science awards
1994 establishments in Ontario |
https://en.wikipedia.org/wiki/Dieudonn%C3%A9%20determinant | In linear algebra, the Dieudonné determinant is a generalization of the determinant of a matrix to matrices over division rings and local rings. It was introduced by .
If K is a division ring, then the Dieudonné determinant is a homomorphism of groups from the group GLn(K) of invertible n by n matrices over K onto the abelianization K×/[K×, K×] of the multiplicative group K× of K.
For example, the Dieudonné determinant for a 2-by-2 matrix is the residue class, in K×/[K×, K×], of
Properties
Let R be a local ring. There is a determinant map from the matrix ring GL(R) to the abelianised unit group R×ab with the following properties:
The determinant is invariant under elementary row operations
The determinant of the identity is 1
If a row is left multiplied by a in R× then the determinant is left multiplied by a
The determinant is multiplicative: det(AB) = det(A)det(B)
If two rows are exchanged, the determinant is multiplied by −1
If R is commutative, then the determinant is invariant under transposition
Tannaka–Artin problem
Assume that K is finite over its centre F. The reduced norm gives a homomorphism Nn from GLn(K) to F×. We also have a homomorphism from GLn(K) to F× obtained by composing the Dieudonné determinant from GLn(K) to K×/[K×, K×] with the reduced norm N1 from GL1(K) = K× to F× via the abelianization.
The Tannaka–Artin problem is whether these two maps have the same kernel SLn(K). This is true when F is locally compact but false in general.
See also
Moore determinant over a division algebra
References
. Errata
Linear algebra
Determinants |
https://en.wikipedia.org/wiki/Fictitious%20domain%20method | In mathematics, the Fictitious domain method is a method to find the solution of a partial differential equations on a complicated domain , by substituting a given problem
posed on a domain , with a new problem posed on a simple domain containing .
General formulation
Assume in some area we want to find solution of the equation:
with boundary conditions:
The basic idea of fictitious domains method is to substitute a given problem
posed on a domain , with a new problem posed on a simple shaped domain containing (). For example, we can choose n-dimensional parallelotope as .
Problem in the extended domain for the new solution :
It is necessary to pose the problem in the extended area so that the following condition is fulfilled:
Simple example, 1-dimensional problem
Prolongation by leading coefficients
solution of problem:
Discontinuous coefficient and right part of equation previous equation we obtain from expressions:
Boundary conditions:
Connection conditions in the point :
where means:
Equation (1) has analytical solution therefore we can easily obtain error:
Prolongation by lower-order coefficients
solution of problem:
Where we take the same as in (3), and expression for
Boundary conditions for equation (4) same as for (2).
Connection conditions in the point :
Error:
Literature
P.N. Vabishchevich, The Method of Fictitious Domains in Problems of Mathematical Physics, Izdatelstvo Moskovskogo Universiteta, Moskva, 1991.
Smagulov S. Fictitious Domain Method for Navier–Stokes equation, Preprint CC SA USSR, 68, 1979.
Bugrov A.N., Smagulov S. Fictitious Domain Method for Navier–Stokes equation, Mathematical model of fluid flow, Novosibirsk, 1978, p. 79–90
Domain decomposition methods
Applied mathematics |
https://en.wikipedia.org/wiki/Neil%20Martin%20%28motorsport%29 | Neil Martin (born 3 September 1972) is an English Formula One strategist who was the former head of strategy at Scuderia Ferrari.
Career
After studying mathematics and computer science at the University of Southampton, Martin continued at Southampton to read Operational Research (OR) for his MSc. Originally intending to seek a job in the City of London, he managed to convince McLaren Racing to sponsor his idea for a Race Strategy project. On completion McLaren offered him a job.
In 1998 Martin pioneered the use of Game Theory and Monte Carlo techniques in Formula 1 race strategy, which embraced risk and random events to deliver more awareness of the likely race outcomes. These stochastic techniques allowed for the modelling of uncertain events e.g. future traffic patterns, the likelihood of overtakes and what to do under a Safety Car, which gave better insight than the previous deterministic algorithms and therefore allowed for more informed decisions under risk events.
Martin was responsible at McLaren for the direction of strategic development of technology and race strategies, developing software to provide instant access to data on specific car components while on track. His role came to public prominence at the 2005 Monaco Grand Prix, when he helped Kimi Räikkönen win the race by making a key strategic call during a safety car incident, by sending an email from McLaren's Woking base to stay out rather than pit.
Headhunted by Red Bull Racing in May 2006, he joined the team as Chief Strategist in January 2007. An anti-intuitive, but correct, strategy call at the 2009 Chinese grand prix, staying out with both cars in bad weather at the start of the race, when Alonso in second place and other contenders pitted for fuel behind the safety car, facilitated Red Bull Racing’s first historic win, which was also a 1-2 finish.
In January 2011, after Ferrari made a poor strategic call during the 2010 Abu Dhabi Grand Prix, which lost driver Fernando Alonso the 2010 World Championship to Red Bull's Sebastian Vettel, Martin joined Ferrari alongside ex-McLaren engineer Pat Fry in a revamped Ferrari race operations and engineering team. He left Ferrari at 2015 in the team’s organizational restructuring.
In 2016, Martin led an engineering team for Mercedes-affiliated HWA and was engaged in the team’s Formula E plan along with Steve Clark.
In 2019, Martin joined venture builder Equals Collective as Non-Executive Director.
Martin is also a keynote speaker in Mark Gallagher’s F1 talents team, working alongside ex-F1 drivers David Coulthard, Mika Häkkinen and Jacques Villeneuve.
References
Living people
1972 births
Alumni of the University of Southampton
Formula One engineers
English motorsport people
Ferrari people
McLaren people |
https://en.wikipedia.org/wiki/Maurice%20Auslander | Maurice Auslander (August 3, 1926 – November 18, 1994) was an American mathematician who worked on commutative algebra, homological algebra and the representation theory of Artin algebras (e.g. finite-dimensional associative algebras over a field). He proved the Auslander–Buchsbaum theorem that regular local rings are factorial, the Auslander–Buchsbaum formula, and, in collaboration with Idun Reiten, introduced Auslander–Reiten theory and Auslander algebras.
Born in Brooklyn, New York, Auslander received his bachelor's degree and his Ph.D. (1954) from Columbia University. He was a visiting scholar at the Institute for Advanced Study in 1956-57.
He was a professor at Brandeis University from 1957 until his death in Trondheim, Norway aged 68. He was elected a Fellow of the American Academy of Arts and Sciences in 1971.
Upon his death he was survived by his mother, his widow, a daughter, and a son. His widow Bernice L. Auslander (November 21, 1931 - June 18, 2022) was a professor emerita of mathematics at University of Massachusetts at Boston. As of 2022, his son Philip Auslander is a professor in the School of Literature, Media, and Communication at Georgia Tech, and his daughter Leora Auslander is a professor of history at the University of Chicago. Maurice Auslander's brother Louis Auslander was also a mathematician.
Selected publications
Articles
with David Buchsbaum: Homological dimension in Noetherian rings, Trans. Amer. Math. Soc., vol. 85, 1957, pp. 390–405
with Oscar Goldman: The Brauer group of a commutative ring, Trans. Amer. Math. Soc., vol. 97, no. 3, 1960, pp. 367–409
Modules over unramified regular local rings, Illinois J. Math., vol. 5, 1961, pp. 631–647
with Idun Reiten: Representation theory of Artin algebras. III. Almost split sequences, Communications in Algebra, vol. 3, 1975, pp. 239–294
with Idun Reiten: On a generalized version of the Nakayama conjecture, Proc. Amer. Math. Soc., vol. 52, 1975, pp. 69–74
Books
with Mark Bridger: Stable module theory, American Mathematical Society 1969
with David Buchsbaum: Groups, rings, modules, Harper and Row 1974;
with Idun Reiten and Sverre O. Smalø: Representation theory of Artin algebras, Cambridge Studies in Advanced Mathematics, 36, Cambridge University Press, 1995
References
Notes
Sources
External links
Maurice Auslander Distinguished Lectures
Maurice Auslander, Mathematician, 68, New York Times obituary
1926 births
1994 deaths
20th-century American mathematicians
Algebraists
Brandeis University faculty
Columbia University alumni
Fellows of the American Academy of Arts and Sciences
Institute for Advanced Study visiting scholars
People from Brooklyn
Mathematicians from New York (state) |
https://en.wikipedia.org/wiki/Bounded%20type%20%28mathematics%29 | In mathematics, a function defined on a region of the complex plane is said to be of bounded type if it is equal to the ratio of two analytic functions bounded in that region. But more generally, a function is of bounded type in a region if and only if is analytic on and has a harmonic majorant on where . Being the ratio of two bounded analytic functions is a sufficient condition for a function to be of bounded type (defined in terms of a harmonic majorant), and if is simply connected the condition is also necessary.
The class of all such on is commonly denoted and is sometimes called the Nevanlinna class for . The Nevanlinna class includes all the Hardy classes.
Functions of bounded type are not necessarily bounded, nor do they have a property called "type" which is bounded. The reason for the name is probably that when defined on a disc, the Nevanlinna characteristic (a function of distance from the centre of the disc) is bounded.
Clearly, if a function is the ratio of two bounded functions, then it can be expressed as the ratio of two functions which are bounded by 1:
The logarithms of and of are non-negative in the region, so
The latter is the real part of an analytic function and is therefore harmonic, showing that has a harmonic majorant on Ω.
For a given region, sums, differences, and products of functions of bounded type are of bounded type, as is the quotient of two such functions as long as the denominator is not identically zero.
Examples
Polynomials are of bounded type in any bounded region. They are also of bounded type in the upper half-plane (UHP), because a polynomial of degree n can be expressed as a ratio of two analytic functions bounded in the UHP:
with
The inverse of a polynomial is also of bounded type in a region, as is any rational function.
The function is of bounded type in the UHP if and only if a is real. If a is positive the function itself is bounded in the UHP (so we can use ), and if a is negative then the function equals 1/Q(z) with .
Sine and cosine are of bounded type in the UHP. Indeed,
with
both of which are bounded in the UHP.
All of the above examples are of bounded type in the lower half-plane as well, using different P and Q functions. But the region mentioned in the definition of the term "bounded type" cannot be the whole complex plane unless the function is constant because one must use the same P and Q over the whole region, and the only entire functions (that is, analytic in the whole complex plane) which are bounded are constants, by Liouville's theorem.
Another example in the upper half-plane is a "Nevanlinna function", that is, an analytic function that maps the UHP to the closed UHP. If f(z) is of this type, then
where P and Q are the bounded functions:
(This obviously applies as well to , that is, a function whose real part is non-negative in the UHP.)
Properties
For a given region, the sum, product, or quotient of two (non-null) functions of bounded type is also |
https://en.wikipedia.org/wiki/Hans-J%C3%BCrgen%20Jansen | Hans-Jürgen Jansen (born 27 September 1941) is a retired German footballer.
Career
Statistics
1 1962–63 and 1963–64 include the Verbandsliga Niederrhein promotion playoffs. 1969–70 and 1970–71 include the Regionalliga promotion playoffs.
References
External links
1941 births
Living people
German men's footballers
VfL Bochum players
Men's association football midfielders
VfB Homberg players
20th-century German people
West German men's footballers |
https://en.wikipedia.org/wiki/Werner%20Scholz%20%28footballer%29 | Werner Scholz (born 1 December 1944) is a German retired professional footballer who played as a goalkeeper.
Career statistics
References
External links
1944 births
Living people
Footballers from Duisburg
German men's footballers
West German men's footballers
Men's association football goalkeepers
Bundesliga players
2. Bundesliga players
Alemannia Aachen players
VfL Bochum players
VfL Bochum II players
Rot-Weiss Essen players |
https://en.wikipedia.org/wiki/Mirko%20Reichel | Mirko Reichel (born 2 December 1970) is a German former professional footballer who played as a midfielder.
Career statistics
References
External links
1970 births
Living people
German men's footballers
East German men's footballers
Men's association football midfielders
Bundesliga players
2. Bundesliga players
FC Erzgebirge Aue players
SV Waldhof Mannheim players
VfL Bochum players
SpVgg Greuther Fürth players |
https://en.wikipedia.org/wiki/Tangent%20half-angle%20substitution | In integral calculus, the tangent half-angle substitution is a change of variables used for evaluating integrals, which converts a rational function of trigonometric functions of into an ordinary rational function of by setting . This is the one-dimensional stereographic projection of the unit circle parametrized by angle measure onto the real line. The general transformation formula is:
The tangent of half an angle is important in spherical trigonometry and was sometimes known in the 17th century as the half tangent or semi-tangent. Leonhard Euler used it to evaluate the integral in his 1768 integral calculus textbook, and Adrien-Marie Legendre described the general method in 1817.
The substitution is described in most integral calculus textbooks since the late 19th century, usually without any special name. It is known in Russia as the universal trigonometric substitution, and also known by variant names such as half-tangent substitution or half-angle substitution. It is sometimes misattributed as the Weierstrass substitution. Michael Spivak called it the "world's sneakiest substitution".
The substitution
Introducing a new variable sines and cosines can be expressed as rational functions of and can be expressed as the product of and a rational function of as follows:
Derivation
Using the double-angle formulas, introducing denominators equal to one thanks to the Pythagorean theorem, and then dividing numerators and denominators by one gets
Finally, since , differentiation rules imply
and thus
Examples
Antiderivative of cosecant
We can confirm the above result using a standard method of evaluating the cosecant integral by multiplying the numerator and denominator by and performing the substitution .
These two answers are the same because
The secant integral may be evaluated in a similar manner.
A definite integral
In the first line, one cannot simply substitute for both limits of integration. The singularity (in this case, a vertical asymptote) of at must be taken into account. Alternatively, first evaluate the indefinite integral, then apply the boundary values.
By symmetry,
which is the same as the previous answer.
Third example: both sine and cosine
if
Geometry
As x varies, the point (cos x, sin x) winds repeatedly around the unit circle centered at (0, 0). The point
goes only once around the circle as t goes from −∞ to +∞, and never reaches the point (−1, 0), which is approached as a limit as t approaches ±∞. As t goes from −∞ to −1, the point determined by t goes through the part of the circle in the third quadrant, from (−1, 0) to (0, −1). As t goes from −1 to 0, the point follows the part of the circle in the fourth quadrant from (0, −1) to (1, 0). As t goes from 0 to 1, the point follows the part of the circle in the first quadrant from (1, 0) to (0, 1). Finally, as t goes from 1 to +∞, the point follows the part of the circle in the second quadrant from (0, 1) to (−1, 0).
Here is another geom |
https://en.wikipedia.org/wiki/1993%20S%C3%A3o%20Paulo%20FC%20season | The 1993 season was São Paulo's 64th season in the club's existence.
Statistics
Scorers
Managers performance
Overall
{|class="wikitable"
|-
|Games played || 98 (36 Campeonato Paulista, 6 Copa do Brasil, 8 Copa Libertadores, 2 Copa de Oro, 20 Campeonato Brasileiro, 2 Recopa Sudamericana, 8 Supercopa Sudamericana, 1 Intercontinental Cup, 15 Friendly match)
|-
|Games won || 46 (20 Campeonato Paulista, 2 Copa do Brasil, 4 Copa Libertadores, 0 Copa de Oro, 9 Campeonato Brasileiro, 0 Recopa Sudamericana, 2 Supercopa Sudamericana, 1 Intercontinental Cup, 8 Friendly match)
|-
|Games drawn || 30 (7 Campeonato Paulista, 2 Copa do Brasil, 2 Copa Libertadores, 1 Copa de Oro, 8 Campeonato Brasileiro, 2 Recopa Sudamericana, 5 Supercopa Sudamericana, 0 Intercontinental Cup, 3 Friendly match)
|-
|Games lost || 22 (9 Campeonato Paulista, 2 Copa do Brasil, 2 Copa Libertadores, 1 Copa de Oro, 3 Campeonato Brasileiro, 0 Recopa Sudamericana, 1 Supercopa Sudamericana, 0 Intercontinental Cup, 4 Friendly match)
|-
|Goals scored || 163
|-
|Goals conceded || 95
|-
|Goal difference || +68
|-
|Best result || 6–1 (H) v Noroeste – Campeonato Paulista – 1993.03.046–1 (H) v Santos – Campeonato Paulista – 1993.06.03
|-
|Worst result || 1–3 (A) v Albacete – Friendly match – 1993.08.18
|-
|Top scorer || Palhinha and Raí (22)
|-
Friendlies
Torneo Ciudad de Santiago
Troféo Santiago de Compostela
Los Angeles City Tournament
Torneo Jalisco
Troféo Teresa Herrera
Troféo Ciudad de Albacete
Troféo Colombino
Troféo Ramón de Carranza
Official competitions
Campeonato Paulista
League table
Matches
Second stage
Matches
Record
Copa do Brasil
Round of 32
Eightfinals
Quarterfinals
Record
Copa Libertadores
Eightfinals
Quarterfinals
Semifinals
Finals
Record
Copa de Oro
Record
Campeonato Brasileiro
League table
Matches
Second stage
Matches
# Match valid simultaneously for the Campeonato Brasileiro and Recopa Sudamericana.
Record
Recopa Sudamericana
# Match valid simultaneously for the Recopa Sudamericana and Campeonato Brasileiro.
Record
Supercopa Sudamericana
Eightfinals
Quarterfinals
Semifinals
Finals
Record
Intercontinental Cup
Record
External links
official website
Sao Paulo
1993 |
https://en.wikipedia.org/wiki/Auslander%E2%80%93Reiten%20theory | In algebra, Auslander–Reiten theory studies the representation theory of Artinian rings using techniques such as Auslander–Reiten sequences (also called almost split sequences) and Auslander–Reiten quivers. Auslander–Reiten theory was introduced by and developed by them in several subsequent papers.
For survey articles on Auslander–Reiten theory see , , , and the book . Many of the original papers on Auslander–Reiten theory are reprinted in .
Almost-split sequences
Suppose that R is an Artin algebra. A sequence
0→ A → B → C → 0
of finitely generated left modules over R is called an almost-split sequence (or Auslander–Reiten sequence) if it has the following properties:
The sequence is not split
C is indecomposable and any homomorphism from an indecomposable module to C that is not an isomorphism factors through B.
A is indecomposable and any homomorphism from A to an indecomposable module that is not an isomorphism factors through B.
For any finitely generated left module C that is indecomposable but not projective there is an almost-split sequence as above, which is unique up to isomorphism. Similarly for any finitely generated left module A that is indecomposable but not injective there is an almost-split sequence as above, which is unique up to isomorphism.
The module A in the almost split sequence is isomorphic to D Tr C, the dual of the transpose of C.
Example
Suppose that R is the ring k[x]/(xn) for a field k and an integer n≥1. The indecomposable modules are isomorphic to one of k[x]/(xm) for 1≤ m ≤ n, and the only projective one has m=n. The almost split sequences are isomorphic to
for 1 ≤ m < n. The first morphism takes a to (xa, a) and the second takes (b,c) to b − xc.
Auslander-Reiten quiver
The Auslander-Reiten quiver of an Artin algebra has a vertex for each indecomposable module and an arrow between vertices if there is an irreducible morphism between the corresponding modules. It has a map τ = D Tr called the translation from the non-projective vertices to the non-injective vertices, where D is the dual and Tr the transpose.
References
External links
Representation theory |
https://en.wikipedia.org/wiki/Auslander%20algebra | In mathematics, the Auslander algebra of an algebra A is the endomorphism ring of the sum of the indecomposable modules of A. It was introduced by .
An Artin algebra Γ is called an Auslander algebra if gl dim Γ ≤ 2 and if 0→Γ→I→J→K→0 is a minimal injective resolution of Γ then I and J are projective Γ-modules.
References
Representation theory |
https://en.wikipedia.org/wiki/Firdaus%20Azizul | Mohd Firdaus bin Azizul (born 3 January 1988 in Seremban, Negeri Sembilan) is a Malaysian footballer currently playing for KSR SAINS as forward in Malaysia M3 League.
Career statistics
Club
Honours
Malaysia Cup: 2009, 2011
Malaysia FA Cup: 2010
References
External links
Firdaus Azizul Statistics
1988 births
Living people
Malaysian men's footballers
Footballers from Negeri Sembilan
Negeri Sembilan FC players
Felcra F.C. players
Malaysia Premier League players
Men's association football forwards
Malaysian people of Malay descent |
https://en.wikipedia.org/wiki/Bounded%20Type | Bounded Type may refer to:
Bounded type (computer science)
Bounded type (mathematics) |
https://en.wikipedia.org/wiki/Tilting%20theory | In mathematics, specifically representation theory, tilting theory describes a way to relate the module categories of two algebras using so-called tilting modules and associated tilting functors. Here, the second algebra is the endomorphism algebra of a tilting module over the first algebra.
Tilting theory was motivated by the introduction of reflection functors by ; these functors were used to relate representations of two quivers. These functors were reformulated by , and generalized by who introduced tilting functors. defined tilted algebras and tilting modules as further generalizations of this.
Definitions
Suppose that A is a finite-dimensional unital associative algebra over some field. A finitely-generated right A-module T is called a tilting module if it has the following three properties:
T has projective dimension at most 1, in other words it is a quotient of a projective module by a projective submodule.
Ext(T,T ) = 0.
The right A-module A is the kernel of a surjective morphism between finite direct sums of direct summands of T.
Given such a tilting module, we define the endomorphism algebra B = EndA(T ). This is another finite-dimensional algebra, and T is a finitely-generated left B-module.
The tilting functors HomA(T,−), Ext(T,−), −⊗BT and Tor(−,T) relate the category mod-A of finitely-generated right A-modules to the category mod-B of finitely-generated right B-modules.
In practice one often considers hereditary finite-dimensional algebras A because the module categories over such algebras are fairly well understood. The endomorphism algebra of a tilting module over a hereditary finite-dimensional algebra is called a tilted algebra.
Facts
Suppose A is a finite-dimensional algebra, T is a tilting module over A, and B = EndA(T ). Write F = HomA(T,−), F′ = Ext(T,−), G = −⊗BT, and G′ = Tor(−,T). F is right adjoint to G and F′ is right adjoint to G′.
showed that tilting functors give equivalences between certain subcategories of mod-A and mod-B. Specifically, if we define the two subcategories and of A-mod, and the two subcategories and of B-mod, then is a torsion pair in A-mod (i.e. and are maximal subcategories with the property ; this implies that every M in A-mod admits a natural short exact sequence with U in and V in ) and is a torsion pair in B-mod. Further, the restrictions of the functors F and G yield inverse equivalences between and , while the restrictions of F′ and G′ yield inverse equivalences between and . (Note that these equivalences switch the order of the torsion pairs and .)
Tilting theory may be seen as a generalization of Morita equivalence which is recovered if T is a projective generator; in that case and .
If A has finite global dimension, then B also has finite global dimension, and the difference of F and F induces an isometry between the Grothendieck groups K0(A) and K0(B).
In case A is hereditary (i.e. B is a tilted algebra), the global dimension of B is at most 2, and the torsion |
https://en.wikipedia.org/wiki/Amitsur%E2%80%93Levitzki%20theorem | In algebra, the Amitsur–Levitzki theorem states that the algebra of n × n matrices over a commutative ring satisfies a certain identity of degree 2n. It was proved by . In particular matrix rings are polynomial identity rings such that the smallest identity they satisfy has degree exactly 2n.
Statement
The standard polynomial of degree n is
in non-commuting variables x1, ..., xn, where the sum is taken over all n! elements of the symmetric group Sn.
The Amitsur–Levitzki theorem states that for n × n matrices A1, ..., A2n whose entries are taken from a commutative ring then
Proofs
gave the first proof.
deduced the Amitsur–Levitzki theorem from the Koszul–Samelson theorem about primitive cohomology of Lie algebras.
and gave a simple combinatorial proof as follows. By linearity it is enough to prove the theorem when each matrix has only one nonzero entry, which is 1. In this case each matrix can be encoded as a directed edge of a graph with n vertices. So all matrices together give a graph on n vertices with 2n directed edges. The identity holds provided that for any two vertices A and B of the graph, the number of odd Eulerian paths from A to B is the same as the number of even ones. (Here a path is called odd or even depending on whether its edges taken in order give an odd or even permutation of the 2n edges.) Swan showed that this was the case provided the number of edges in the graph is at least 2n, thus proving the Amitsur–Levitzki theorem.
gave a proof related to the Cayley–Hamilton theorem.
gave a short proof using the exterior algebra of a vector space of dimension 2n.
gave another proof, showing that the Amitsur–Levitzki theorem is the Cayley–Hamilton identity for the generic Grassman matrix.
References
Linear algebra
Theorems in algebra
Matrix theory |
https://en.wikipedia.org/wiki/Janne%20Tavi | Janne Tavi (born September 13, 1989) is a Finnish professional ice hockey forward. He is currently a free agent.
Career
He had previously played for Pelicans of the SM-liiga.
Career statistics
Regular season and playoffs
International
References
External links
1989 births
Living people
Ice hockey people from Helsinki
Finnish ice hockey forwards
Lahti Pelicans players
Peliitat Heinola players
SaiPa players
JYP Jyväskylä players
KalPa players
Mikkelin Jukurit players
Jokipojat players
HK Poprad players
Finnish expatriate ice hockey players in Slovakia
Finnish expatriate ice hockey players in Sweden
Finnish expatriate ice hockey players in Italy |
https://en.wikipedia.org/wiki/Mathematics%20and%20Computer%20Education | Mathematics and Computer Education was a peer-reviewed academic journal in the fields of mathematics and computer science education, published from 1982 to 2016. It was edited by George M. Miller Jr. of Nassau Community College.
It is the successor publication of the New York State Mathematics Newsletter for Two Year Colleges, first published by the New York State Mathematics Association of Two Year Colleges (NYSMATYC) in 1967, and renamed the NYSMATYC Journal in 1969 and the Mathematics Association of Two-Year Colleges Journal in 1970. In 1973, the NYSMATYC re-started another newsletter, separate from the journal.
See also
List of mathematics education journals
References
Computer science journals
Triannual journals
Publications with year of establishment missing
English-language journals
Mathematics education journals |
https://en.wikipedia.org/wiki/Emerson%2C%20Michigan | Emerson is an uninhabited unincorporated community in Chippewa County in the U.S. state of Michigan. As an unincorporated community, Emerson has no legally defined boundaries or population statistics of its own. The community is located within Whitefish Township.
Emerson was settled as a lumber community as early as 1880 near the mouth of the Tahquamenon River. After the lumber industry declined by 1920, the community slowly dwindled and became a ghost town during the 1940s. There are very few remnants of the former community, and it was later recognized as a Michigan State Historic Site in 1979.
Geography
Emerson is located in Chippewa County in the state's Upper Peninsula. Located in Whitefish Township along the shores of Lake Superior, the community sits at an elevation of above sea level.
The community is located along the river mouth of the Tahquamenon River about south of the community of Paradise. M-123, known locally as Whitefish Point Road, is the main roadway through the community and surrounding area. Other nearby unincorporated communities include Shelldrake and Whitefish Point to the north. Located further upstream along the Tahquamenon River to the west are the communities of Snug Harbor, Whitehouse Landing, and Timberlost. The community of Eckerman is located much further to the south along M-123 in Chippewa Township. The nearest incorporated municipality is the village of Newberry about to the southwest via roadway.
The community is located within Tahquamenon Falls State Park near the Rivermouth Campground. The Michigan Department of Natural Resources maintains a public boat launch at the mouth of the Tahquamenon River. Section 69 of the Newberry Unit of the Lake Superior State Forest is also located within the vicinity. The surrounding waters of Lake Superior are also part of the Whitefish Point Underwater Preserve. The North Country Trail passes through the area and portions of the state park. The Emerson Trail is a extension that connects M-123 to the shores of Lake Superior. Passing through forest and swampland, it leads to the lakeshore where the former sawmill once stood.
Emerson no longer has its own post office and is served by the Paradise 49768 ZIP Code. The community and surrounding area are served by Whitefish Township Schools in Paradise.
History
The area was settled as early as 1880 when Kurt Emerson of Saginaw built a sawmill here. The community grew after his relatives, the Chesbrough brothers from Detroit, built a very large sawmill in 1882. The community was named Emerson after another relative, eccentric millionaire lumberman Chris Emerson. A post office began operating here on April 15, 1884 with Fremont B. Chesbrough serving as the first postmaster. The community became part of Whitefish Township when the township was formally organized in 1888. In 1890, Emerson had a population of 109 residents, while the sparsely-populated township recorded a population of 251 at the 1890 c |
https://en.wikipedia.org/wiki/1994%20S%C3%A3o%20Paulo%20FC%20season | The 1994 season was São Paulo's 65th season since club's existence.
Statistics
Scorers
Managers performance
Overall
{|class="wikitable"
|-
|Games played || 92 (30 Campeonato Paulista, 1 Recopa Sudamericana, 8 Copa Libertadores, 6 Copa Bandeirantes, 27 Campeonato Brasileiro, 6 Supercopa Libertadores, 8 Copa CONMEBOL, 6 Friendly match)
|-
|Games won || 42 (16 Campeonato Paulista, 1 Recopa Sudamericana, 4 Copa Libertadores, 1 Copa Bandeirantes, 12 Campeonato Brasileiro, 3 Supercopa Libertadores, 3 Copa CONMEBOL, 2 Friendly match)
|-
|Games drawn || 26 (9 Campeonato Paulista, 0 Recopa Sudamericana, 2 Copa Libertadores, 1 Copa Bandeirantes, 8 Campeonato Brasileiro, 1 Supercopa Libertadores, 3 Copa CONMEBOL, 2 Friendly match)
|-
|Games lost || 24 (5 Campeonato Paulista, 0 Recopa Sudamericana, 2 Copa Libertadores, 4 Copa Bandeirantes, 7 Campeonato Brasileiro, 2 Supercopa Libertadores, 2 Copa CONMEBOL, 2 Friendly match)
|-
|Goals scored || 159
|-
|Goals conceded || 119
|-
|Goal difference || +40
|-
|Best result || 6 -1 (H) v Peñarol - Copa Conmebol - 1994.12.14 4–0 (H) v Ferroviária – Campeonato Paulista – 1994.02.164–0 (A) v América – Campeonato Paulista – 1994.04.244–0 (H) v Araçatuba – Copa Bandeirantes – 1994.07.294–0 (H) v Paysandu – Campeonato Brasileiro – 1994.11.06
|-
|Worst result || 0–4 (A) v Botafogo – Campeonato Brasileiro – 1994.08.20
|-
|Most appearances ||
|-
|Top scorer || Palhinha (20)
|-
Friendlies
Trofeo Club Atlético San Lorenzo de Almagro
Taça Solidariedade
Friendly match held for the collection of warm clothes.
Official competitions
Campeonato Paulista
League table
Matches
Record
Recopa Sudamericana
Record
Copa Libertadores
Eightfinals
Quarterfinals
Semifinals
Finals
Record
Copa Bandeirantes
Record
Campeonato Brasileiro
First round
Matches
Second round
First phase
Matches
Second phase
Matches
Second round table
Quarterfinals
Record
Supercopa Sudamericana
Eightfinals
Quarterfinals
Semifinals
Record
Copa CONMEBOL
Eightfinals
Quarterfinals
Semifinals
Finals
Record
External links
official website
References
Sao Paulo
São Paulo FC seasons |
https://en.wikipedia.org/wiki/Nakayama%20algebra | In algebra, a Nakayama algebra or generalized uniserial algebra is an algebra such that each left or right indecomposable projective module has a unique composition series. They were studied by who called them "generalized uni-serial rings". These algebras were further studied by and later by , by and by .
An example of a Nakayama algebra is k[x]/(xn) for k a field and n a positive integer.
Current usage of uniserial differs slightly: an explanation of the difference appears here.
References
Ring theory |
https://en.wikipedia.org/wiki/Loewy%20ring | In mathematics, a Loewy ring or semi-Artinian ring is a ring in which every non-zero module has a non-zero socle, or equivalently if the Loewy length of every module is defined. The concepts are named after Alfred Loewy.
Loewy length
The Loewy length and Loewy series were introduced by .
If M is a module, then define the Loewy series Mα for ordinals α by M0 = 0, Mα+1/Mα = socle(M/Mα), and Mα = ∪λ<α Mλ if α is a limit ordinal. The Loewy length of M is defined to be the smallest α with M = Mα, if it exists.
Semiartinian modules
is a semiartinian module if, for all epimorphisms , where , the socle of is essential in
Note that if is an artinian module then is a semiartinian module. Clearly 0 is semiartinian.
If is exact then and are semiartinian if and only if is semiartinian.
If is a family of -modules, then is semiartinian if and only if is semiartinian for all
Semiartinian rings
is called left semiartinian if is semiartinian, that is, is left semiartinian if for any left ideal , contains a simple submodule.
Note that left semiartinian does not imply that is left artinian.
References
Ring theory |
https://en.wikipedia.org/wiki/Brad%20Snetsinger | Bradley Snetsinger (born April 8, 1987) is a Canadian professional ice hockey player who is currently playing for the Starbulls Rosenheim in the German Oberliga (ice hockey).
Career statistics
Regular season and playoffs
External links
Living people
Bakersfield Condors (1998–2015) players
Lowell Devils players
Mississauga IceDogs players
SHC Fassa players
Trenton Devils players
Utah Grizzlies (AHL) players
Windsor Spitfires players
1987 births
Canadian expatriate ice hockey players in Italy
Canadian ice hockey left wingers |
https://en.wikipedia.org/wiki/Gesellschaft%20f%C3%BCr%20Didaktik%20der%20Mathematik | The Gesellschaft für Didaktik der Mathematik (GDM) (Society for Didactics of Mathematics) is a scientific society pursuing the goal to foster mathematics education, particularly in German-speaking countries. It seeks cooperation with the respective institutions in other countries.
Main interests
The society primarily concerns itself with:
the teaching and learning of mathematics
researching and implementing mathematics in schools
identifying students' and teachers' beliefs about mathematics and improving the attitude towards it
Organisation
The GDM consists of the executive board, the general assembly and the advisory board.
Currently, the executive board consists of:
Prof. Dr. Rudolf vom Hofe (president)
Prof. Dr. Silke Ruwisch (vice president)
Prof. Dr. Christine Bescherer (financial officer)
Prof. Dr. Andreas Vohns (secretary)
Special interest groups
Within the GDM there are numerous special interest groups concerned with different topics within mathematics education.
These special interest groups include:
Empirische Bildungsforschung (Empirical Educational Studies)
Frauen und Mathematik (Women and mathematics)
Geometrie (Geometry)
Grundschule (Primary schools)
Hochschulmathematikdidaktik (Mathematics in Higher Education)
Interpretative Forschung in der Mathematikdidaktik (Interpretative Research in Mathematics Education)
Lehrerbildung (Teacher education)
Mathematik in der beruflichen Bildung (Mathematics in vocational education)
Mathematik und Bildung (Mathematics and Education)
Mathematikgeschichte und Unterricht (History of Mathematics and School Education)
Mathematikunterricht und Informatik (Mathematics Education and Computer Sciences)
Mathematikunterricht und Mathematikdidaktik in Österreich (Mathematics Education and Didactics of Mathematics in Austria)
Mathematische Weiterbildung für Erwachsene (Mathematical Advanced Education for Adults)
Mathematische Weltbilder (Mathematical World Views)
Problemlösen (Problem solving)
Psychologie und Mathematikdidaktik (Psychology and Didactics of Mathematics)
Schweiz-Liechtenstein (Switzerland-Liechtenstein)
Semiotik, Zeichen und Sprache (Semiotics in Didactics of Mathematics)
Sokratischer Dialog (Socratic Dialogue)
Stochastik in der Schule (Stochastics in School)
Vergleichsuntersuchungen im Mathematikunterricht (Comparing Studies of Mathematics Education in School)
Vernetzungen im Mathematikunterricht (Networking in Mathematics Education)
Videobasierte Unterrichtsforschung (Video-based Research of School Education)
ISTRON Gruppe
All links to the website of each group can be found on the GDM wiki.
Membership
Members generally work at universities or other scientific research groups, or are located in schools, though membership of the GDM is open to anyone interested in mathematics education. In 2011, one year's membership cost 60€ which includes multiple issues of members journals, plus the proceedings of the annual meeting.
Annual meeting
The society ho |
https://en.wikipedia.org/wiki/Gisela%20Dulko%20career%20statistics | This is a list of the main career statistics of professional Argentine tennis player Gisela Dulko.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup and Olympic Games are included in win–loss records.
Singles
Doubles
Significant finals
Grand Slam finals
Doubles: 1 title
Mixed doubles: 1 runner–up
WTA Tour Championships finals
Doubles: 1 title
WTA Premier Mandatory & 5 finals
Doubles: 8 (3 titles, 5 runner–ups)
WTA career finals
Singles: 8 (4 titles, 4 runner–ups)
Doubles: 30 (17 titles, 13 runner–ups)
ITF finals
Singles: 8 (6 titles, 2 runner–ups)
Doubles: 12 (6 titles, 6 runner–ups)
Record against top 10 players
Dulko's match record against players who have been ranked in the top 10, with those who have been ranked No. 1 in boldface
Flavia Pennetta 4–2
Victoria Azarenka 3–3
Jelena Dokic 2–0
Martina Navratilova 2–0
Sara Errani 2–1
Alicia Molik 2–1
Elena Dementieva 2–2
Svetlana Kuznetsova 2–3
Nadia Petrova 2–3
Ekaterina Makarova 1–0
Kimiko Date-Krumm 1–1
Justine Henin 1–1
Angelique Kerber 1–1
Mary Pierce 1–1
Carla Suárez Navarro 1–1
Ana Ivanovic 1–2
Conchita Martínez 1–2
Anastasia Myskina 1–2
Lucie Šafářová 1–2
Samantha Stosur 1–2
Paola Suárez 1–2
Ai Sugiyama 1–2
Nicole Vaidišová 1–2
Dominika Cibulková 1–3
Caroline Wozniacki 1–3
Jelena Jankovic 1–4
Maria Sharapova 1–4
Daniela Hantuchová 1–5
Vera Zvonareva 1–5
Kim Clijsters 0–1
Li Na 0–1
Amélie Mauresmo 0–1
Andrea Petkovic 0–1
Dinara Safina 0–1
Barbara Schett 0–1
Lindsay Davenport 0–2
Serena Williams 0–2
Agnieszka Radwańska 0–3
Marion Bartoli 0–5
Maria Kirilenko 0–5
Patty Schnyder 0–5
Top 10 wins
Notes
External links
Tennis career statistics
Lists of Argentine sportspeople |
https://en.wikipedia.org/wiki/Solomon%20Gandz | Solomon Gandz (2 February 1883, Tarnobrzeg, Austria – 30 March 1954) was a historian of science.
Gandz published on the history of mathematics and astronomy in medieval Jewish and Islamic civilizations.
From 1915 to 1919, Gandz was professor of Jewish theology and Jewish history in the gymnasium and realschule in Vienna.
From 1923 to 1234, he was librarian and professor of Arabic and Medieval Hebrew at the Rabbi Isaac Elchanan Theological Seminary of Yeshiva University in New York.
From 1942 until his death in March 1954, he was research professor of the history of Semitic Civilization at the Dropsie College for Hebrew and Cognate Learning in Philadelphia, Pennsylvania, (except for the war years when he was in government service).
Selections from his collected works were published by KTAV Publishing House NY in 1970. "Studies in Hebrew Astronomy and Mathematics" by Solomon Gandz. Selected with an introduction by Professor Shlomo Sternberg of Harvard.
Among his major works is his annotated translation of Maimonides' Code "Sanctification of the New Moon" included in the Yale Judaica Series as well as his edition of Mishnat ha-Middot.
Works
Gandz, S.: "The invention of the decimal fractions and the application of the exponential calculus by Immanuel Bonfils of Tarascon (c. 1350)", Isis 25 (1936), 16–45.
Solomon Gandz: "Studies in Hebrew Astronomy and Mathematics" Selected with an introduction by Professor Shlomo Sternberg of Harvard. KTAV Publishing House NY 1970.
See also
Astronomy in medieval Islam
Mathematics in medieval Islam
References
Martin Levey, "Solomon Gandz, 1884-1954", Isis Vol. 46, No. 2 (Jun., 1955), pp. 107–110 .
1883 births
1954 deaths
20th-century Austrian historians
Jewish historians
Historians of astronomy
Historians of mathematics
Jews from Galicia (Eastern Europe)
People from Tarnobrzeg |
https://en.wikipedia.org/wiki/Lukacs%20Distinguished%20Professor | The Lukacs Distinguished Professor chair was established in 1989 by the Department of Mathematics and Statistics at Bowling Green State University in honor of Eugene Lukacs, who came to Bowling Green with his colleagues Radha Laha and Vijay Rohatgi in 1972 to establish the doctoral program in statistics. Eugene Lukacs was Bowling Green's first Distinguished University Professor.
Each year an outstanding senior researcher in probability or statistics is invited to serve as the Eugene Lukacs Distinguished Visiting Professor during the academic year or a semester. The Lukacs Professors are invited based on their distinguished record of research in the application or theory of probability or statistics. The Lukacs professor typically collaborates with current faculty on research, participates in seminars and colloquia, and typically gives a graduate course or presents a series of related seminars. Lukacs Professors have organized Lukacs Symposia on a variety of topics in probability and statistics.
Lukacs Distinguished Visiting Professors
See also
List of statisticians
History of statistics
References
External links
Statistics for the 21st Century, 1998 Lukacs Symposium, organized by C. R. Rao.
Frontiers of Environmental and Ecological Statistics for the 21st Century: Synergistic Challenges, Opportunities and Directions for Statistics, Ecology, Environment, and Society 1999 Lukacs Symposium convened by G. P. Patil.
Statistics-related lists |
https://en.wikipedia.org/wiki/Pseudoanalytic%20function | In mathematics, pseudoanalytic functions are functions introduced by that generalize analytic functions and satisfy a weakened form of the Cauchy–Riemann equations.
Definitions
Let and let be a real-valued function defined in a bounded domain . If and and are Hölder continuous, then is admissible in . Further, given a Riemann surface , if is admissible for some neighborhood at each point of , is admissible on .
The complex-valued function is pseudoanalytic with respect to an admissible at the point if all partial derivatives of and exist and satisfy the following conditions:
If is pseudoanalytic at every point in some domain, then it is pseudoanalytic in that domain.
Similarities to analytic functions
If is not the constant , then the zeroes of are all isolated.
Therefore, any analytic continuation of is unique.
Examples
Complex constants are pseudoanalytic.
Any linear combination with real coefficients of pseudoanalytic functions is pseudoanalytic.
See also
Quasiconformal mapping
Elliptic partial differential equations
Cauchy-Riemann equations
References
Further reading
Complex analysis
Partial differential equations
Types of functions |
https://en.wikipedia.org/wiki/Hadamard%20three-lines%20theorem | In complex analysis, a branch of mathematics, the Hadamard three-lines theorem is a result about the behaviour of holomorphic functions defined in regions bounded by parallel lines in the complex plane. The theorem is named after the French mathematician Jacques Hadamard.
Statement
Define by
where on the edges of the strip. The result follows once it is shown that the inequality also holds in the interior of the strip.
After an affine transformation in the coordinate it can be assumed that and
The function
tends to as tends to infinity and satisfies on the boundary of the strip. The maximum modulus principle can therefore be applied to in the strip. So Because tends to as tends to infinity, it follows that ∎
Applications
The three-line theorem can be used to prove the Hadamard three-circle theorem for a bounded continuous function on an
annulus holomorphic in the interior. Indeed applying the theorem to
shows that, if
then is a convex function of
The three-line theorem also holds for functions with values in a Banach space and plays an important role in complex interpolation theory. It can be used to prove Hölder's inequality for measurable functions
where by considering the function
See also
Riesz–Thorin theorem
Phragmén–Lindelöf principle
References
(the original announcement of the theorem)
Convex analysis
Theorems in complex analysis |
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