File:NDL979069 最小自乗法応用測量平均法 part1.pdf

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最小自乗法応用測量平均法   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
諸戸, 北郎, 1873-1951
image of artwork listed in title parameter on this page
Title
最小自乗法応用測量平均法
Publisher
丸善
Language jpn
Publication date

1923

大正12
Place of publication JP
Source

doi:10.11501/979069

institution QS:P195,Q477675
Creator
InfoField
諸戸北郎 著
Publication Place
InfoField
東京
Subject: NDC
InfoField
656
Extent
InfoField
305p ; 22cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
43043302
Date Digitized: W3CDTF
InfoField
2009-03-31
Audience
InfoField
一般
Title Transcription
InfoField
サイショウ ジジョウホウ オウヨウ ソクリョウ ヘイキンホウ
Publisher Transcription
InfoField
マルゼン
Source Identifier: NDLBibID
InfoField
000000590641
Call Number
InfoField
521-2
Creator Transcription: NDLNA
InfoField
モロト, キタオ
Creator: NDLNAId
InfoField
00312520
Contents
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標題

目次

第一章 緒論/1

第一節 最小自乘法ノ應用/1

第二節 測量ノ分類/1

第三節 測量ノ誤差/3

第四節 「ぷろばびりちー」ノ原理/5

第二章 誤差ノ「ぷろばびりちー」ノ法則/14

第一節 總説/14

第二節 經驗ヨリ得タル定理/14

第三節 「ぷろばびりちー」曲線/16

第四節 「はーげん」氏法/18

第五節 「がうす」氏法/22

第六節 y=Ke〓〓〓〓〓ナル曲線ノ研究/26

第七節 「ぷろばびりちー」積分/28

第八節 理論ト實驗トノ比較/32

第九節 原式ニ關スル注意/33

第三章 測量ノ整正/36

第一節 觀測値ノ重み/36

第二節 最小自乘法ノ主義/38

第三節 一個ノ未知數ニ於ケル直接測量/41

第四節 多數ノ未知數ニ於ケル精密度等シキ獨立測量/42

第五節 二個ノ未知數ノ場合/47

第六節 實驗ニ依リ常數ヲ求ムル法/49

第七節 三個ノ未知數ノ場合/51

第八節 「がうす」氏ノ法正式解法/52

第九節 法正式解法ノ實例/60

第十節 二個ノ未知數ノ場合ニ於ケル「がうす」氏消去法及誤差二乘ノ和/66

第十一節 二個ノ未知數ニ於ケル係數ノ計算及總和檢定法/68

第十二節 二個ノ未知數ノ場合ニ於ケル消去法ノ實例/70

第十三節 四個ノ未知數ノ場合/71

第十四節 多數ノ未知數ニ於ケル精密度等シカラザル獨立測量/74

第十五節 四個ノ未知數ノ場合/77

第十六節 四個ノ未知數ノ場合ニ於ケル「がうす」氏消去法及誤差二乘ノ和/79

第十七節 條件附測量/87

第十八節 「がうす」氏ノ不定係數法/89

第十九節 四個ノ未知數ニ於ケル條件付測量ヲ不定係數法ニ依リ平均スル法/94

第二十節 一次ナラザル凾數ノ場合/98

第廿一節 多數ノ測線ノ交切點ノ平均法/101

第四章 測量ノ精密度/105

第一節 總説/105

第二節 平均誤差/105

第三節 中數誤差/107

第四節 現ハレ易キ誤差/109

第五節 測量ノ精密度ト平均誤差ノ關係/117

第六節 測量ノ精密度ト中數誤差ノ關係/117

第七節 平均誤差、中數誤差及現ハレ易キ誤差ノ關係/121

第八節 誤差移行ノ法則/121

第九節 規則誤差及不規則誤差ノ同時ニ現ハルル場合/130

第十節 算術的平均値ノ中數誤差/130

第十一節 一般的平均値ノ中數誤差/137

第十二節 一般的平均値ノ現ハレ易キ誤差/142

第十三節 二個ノ測量ノ特別ノ場合/145

第十四節 三角形ノ内角ノ平均法/148

第十五節 觀測値ノ差ヨリ中數誤差ヲ定ムル法/154

第十六節 重みノ係數/158

第十七節 多數ノ未知數ニ於ケル獨立測量ノ現ハレ易キ誤差/160

第十八節 二個ノ未知數ニ於ケル單位重みノ中數誤差/173

第十九節 二個ノ未知數ノ中數誤差/175

第二十節 測量ノ重み等シカラザル場合/176

第廿一節 單位重みノ測量ノ中數誤差/179

第廿二節 條件付測量ノ中數誤差/181

第廿三節 條件付測量ノ現ハレ易キ誤差/184

應用實例/184

第一節 重み等シキ測量/185

第五章 一個ノ未知數ニ於ケル直接測量/185

Licensing

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