Azimuntium (Azimus, or Esimontou) was a fortified town in Thracian region near the Illyrian border of the Eastern Roman Empire (present day Greece). The town is described by the Greek historian as the being the only one of the 182 forts and castles of Thrace to resist during the Attilan War of 443-446 A.D. and separately negotiating an exchange of captives with Attila after the peace was declared in 446 A.D.
The town is thought by Priscus to have still been in existence up the reign of the Emperor Justinian after which it "extirpated by the jealousy of the Roman princes". In Chapter 34 of his book "The history of the decline and fall of the Roman empire", Gibbons describes the town as follows:
Districts of Japan
Districts are not all the same size. They are roughly equivalent to a county in the United Kingdom or the United States. They are smaller than prefectures and larger than towns and villages.
Districts were established in the 8th century.
Until the 10th century, the chief government official of a district ("gun") was called the "gunji". During the Edo period, the head of a district ("gun") was called the "gundai".
Between 1878 and 1921, the Meiji period and Taishō period, districts were given specific powers and responsibilities which are now diffused.
Tokizo Ichihashi
Ichihashi was born in Hyogo Prefecture on June 9, 1909. He played for Keio BRB which was consisted of his alma mater Keio University players and graduates.
In May 1930, when Ichihashi was a Keio University student, he was selected the Japan national team for Far Eastern Championship Games in Tokyo and Japan won the championship. At this competition, on May 25, he debuted and scored a goal against Philippines. On May 29, he also played against Republic of China. He played 2 games and scored 1 goals for Japan in 1930.
!Total||2||1
Saizo Saito
Saito was born in Osaka Prefecture on September 24, 1908. He played for Kwangaku Club which was consisted of his alma mater Kwansei Gakuin University players and graduates. At the club, he won 1929 Emperor's Cup with Yukio Goto, Hideo Sakai and so on.
In May 1930, when Saito was a Kwansei Gakuin University student, he was selected the Japan national team for Far Eastern Championship Games in Tokyo and Japan won the championship. At this competition, on May 25, he debuted against Philippines. On May 29, he also played against Republic of China. He played 2 games for Japan in 1930.
After graduating from Kwansei Gakuin University, Saito retired playing career and want to England and studied football at University of Bristol. In 1933, he joined Osaka Mainichi Shimbun and he was engaged in the management and reporting of All Japan High School Soccer Tournament until 1940. After that, he worked at Hino Motors and some affiliates until 1989. He also served as the president at some Hino Motors affiliates.
Saito died in 2004.
!Total||2||0
Masao Nozawa
Nozawa was born in Hiroshima Prefecture. In May 1930, when he was a Tokyo Imperial University student, he was selected the Japan national team for Far Eastern Championship Games in Tokyo and Japan won the championship. At this competition, on May 25, he debuted against Philippines. On May 29, he also played against Republic of China. He played 2 games for Japan in 1930.
!Total||2||0
Hiroshi Kanazawa
In May 1934, when Kanazawa was a Kyoto Imperial University student, he was selected the Japan national team for Far Eastern Championship Games in Manila. At this competition, on May 13, he debuted against Dutch East Indies. On May 15, he also played against Philippines. He played 2 games for Japan in 1934.
!Total||2||0
Yukio Goto
Goto was born in Kobe. He played for Kwangaku Club which was consisted of his alma mater Kwansei Gakuin University players and graduates. He won 1929 and 1930 Emperor's Cup at the club.
In May 1930, when Goto was a Kwansei Gakuin University student, he was selected the Japan national team for Far Eastern Championship Games in Tokyo and Japan won the championship. At this competition, on May 25, he debuted against Philippines. In 1934, he was also selected Japan for Far Eastern Championship Games in Manila. At this competition, he played 2 games as Japan team captain. He played 4 games for Japan until 1934.
Goto died in 1976.
!Total||4||0
Akira Nozawa
Nozawa was born in Hiroshima Prefecture. In May 1934, when he was a Waseda University student, he was selected the Japan national team for Far Eastern Championship Games in Manila. At this competition, on May 13, he debuted against Dutch East Indies. He also played against Philippines and Republic of China. He played 3 games and scored 3 goals for Japan in 1934.
!Total||3||3
Teiichi Matsumaru
Matsumaru was born in Bunkyo, Tokyo on February 28, 1909. He played for Keio BRB which was consisted of his alma mater Keio University players and graduates. At Keio BRB, he won 1932 and 1936 Emperor's Cup. He also played for Tokyo OB Club and won 1933 Emperor's Cup with Shigemaru Takenokoshi and Shiro Teshima.
In May 1934, Matsumaru was selected the Japan national team for Far Eastern Championship Games in Manila. At this competition, on May 13, he debuted against Dutch East Indies. He also played against Philippines and Republic of China. He played 3 games for Japan in 1934.
Matsumaru died on January 6, 1997 at the age of 87. In 2015, he was selected Japan Football Hall of Fame.
!Total||3||0
Convex function
Three examples are:
Koichi Oita
Oita was born in Tokyo Metropolis on April 9, 1914. In 1936, when he was a Tokyo Imperial University student, he was selected the Japan national team for 1936 Summer Olympics in Berlin. At this competition, on August 4, he debuted against Sweden. Although he was a midfielder, he played as a defender. Japan completed a come-from-behind victory against Sweden. The first victory in Olympics for the Japan and the historic victory over one of the powerhouses became later known as "Miracle of Berlin" () in Japan. In 2016, this team was selected Japan Football Hall of Fame. On August 7, he also played against Italy. He played 2 games for Japan in 1936.
After retirement, in 1947, Oita became a manager for new club Sumitomo Metal and managed until 1956.
September 11, 1996, Oita died of heart failure in Bunkyo, Tokyo at the age of 82.
!Total||2||0
Weighted average
A weighted average is the average of values which are scaled by importance. The weighted average of values is the sum of weights times values divided by the sum of the weights.
Given two school classes, one with 20 students, and one with 30 students, the grades in each class on a test were:
The straight average for the morning class is 80 and the straight average of the afternoon class is 90. The straight average of 80 and 90 is 85, the mean of the two class means. But this does not account for the difference in number of students in each class, so the value of 85 does not reflect the average student grade (independent of class). The average student grade can be calculated by averaging all the grades, without regard to classes (add all the grades up and divide by the total number of students):
Or, this can be accomplished by weighting the class means by the number of students in each class (using a weighted mean of the class means):
Thus, the weighted mean makes it possible to find the average student grade in the case where only the class means and the number of students in each class are available.
Epigraph (mathematics)
In mathematics, the epigraph of a function is the set of paired values so the output of the function at the first value is less than or equal to the second value. In math terms this means formula_1 if and only if formula_2.
Kunitaka Sueoka