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Karl Apfelbacher : ウィキペディア英語版 | Karl Apfelbacher Karl Apfelbacher was a German mathematician who served as minister for higher public education in Upper Bavaria-East.〔(Aventinus-Gymnasium Burghausen )〕 He was a student of Arnold Sommerfeld and Heinrich Tietze〔(Tietze ) – MacTutor〕 at the University of Munich, where he received his doctorate in 1939.〔(Apfelbacher ) – Mathematics Genealogy Project. Dissertation title: ''Über Beziehungen zwischen Umgebungsräumen und Häufungsräumen''〕 He went into teaching mathematics and science, as well as administration, in secondary schools. In 1964, he was cited as being Oberstudiendirektor〔Oberstudiendirektor: headmaster for a secondary school.〕 at the Oberrealschule〔An Oberrealschule presented a non-classical education, i.e., modern languages, science, and mathematics.〕 in Burghausen, Altötting. On October 16, 1964, the school was taken over by the Bayerischen Staatsministeriums für Unterricht und Kultus.〔Bayerischen Staatsministeriums für Unterricht und Kultus: the Bavarian section of the Kultusministerium, the Ministry for Education and Culture. The sections in each German state have different names and functions apart from the administration of the school sphere. The term "Kultus" stands for church affairs, which was historically seen as the core task of a Ministry for Education and Culture, so the literal translation is the "Bavarian State Ministry for Education and Church Affairs." See: (Kultusministerium ) - Bayerischen Staatsministeriums für Unterricht und Kultus.〕 == Notes == 〔
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