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AN10079809-20170331-0063.pdf
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Title |
Title |
水理学と土質力学における二, 三の公式の相加平均・相乗平均不等式に基づく導出
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Kana |
スイリガク ト ドシツ リキガク ニ オケル ニ, サン ノ コウシキ ノ ソウカ ヘイキン・ソウジョウ ヘイキン フトウシキ ニ モトズク ドウシュツ
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Romanization |
Suirigaku to doshitsu rikigaku ni okeru ni, san no koshiki no soka heikin sojo heikin futoshiki ni motozuku doshutsu
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Title |
Derivation of some formulae in hydraulics and soil mechanics, based on the inequality between arithmetic and geometric means
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Creator |
Name |
南, 就将
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Kana |
ミナミ, ナリユキ
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Romanization |
Minami, Nariyuki
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Affiliation |
慶應義塾大学医学部数学教室
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Affiliation (Translated) |
Keio University School of Medicine
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Name |
慶應義塾大学日吉紀要刊行委員会
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Kana |
ケイオウ ギジュク ダイガク ヒヨシ キヨウ カンコウ イインカイ
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Romanization |
Keio gijuku daigaku Hiyoshi kiyo kanko iinkai
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2017
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Source Title |
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慶應義塾大学日吉紀要. 自然科学
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Name (Translated) |
The Hiyoshi review of natural science
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61
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2017
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3
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Start page |
63
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End page |
80
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Abstract |
In this note, some formulae in civil engineering, especially Coulomb's formulae for active and passive earth pressures, are derived as solutions to min-max problems for some concrete functions. The mathematical derivations are based not on differential calculus, but on the inequality between arithmetic and geometric means.
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Departmental Bulletin Paper
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