File:NLC416-08jh010849-82937 最小二乘法.pdf

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search
Go to page
next page →
next page →
next page →

Original file ‎(835 × 1,179 pixels, file size: 9.12 MB, MIME type: application/pdf, 295 pages)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
最小二乘法   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
陸志鴻著
image of artwork listed in title parameter on this page
Title
最小二乘法
Publisher
世界書局
Description

目錄
第一章 緒論
第一節 最小二乘法之目的
1 目的
第二節 觀測之分類
2 直接觀測
3 間接觀測
4 條件觀測
5 獨立觀測
第三節 觀測之誤差
6 常差
7 過失
8 偶差
9 殘差
第四節 或是率之原理
10 或是率
11 單一事象與聯合事象
12 最可能事象
第五節 關於誤差之公理
13 由經驗所得之公理
14 誤差曲線
習題
第二章 誤差定律
第一節 算術平均
15 算術平均
16 關於算術平均之二定律
第二節 誤差定律之求法
17 誤差定律
18 誤差定律之求法
19 常數c之值
20 誤差定律積分表
21 h之性質
22 理論與實際之比較
第三節 最小二乘法之原理
23 最小二乘法之原理
24 觀測次數
第三章 觀測精度之比較
第一節 三種特種誤差
25 觀測精度之表示
26 平方差
27 中位差
28 平均差
第二節 誤差傳播之定律
29 誤差之傳播
30 算術平均之精度
31 例習題
第四章 直接觀測之整正及精度
第一節 等精度觀測
32 等精度觀測之或是值
33 算術平均之計算
34 單純觀測與算術平均之精度公式
第二節 不等精度之觀測
35 輕重率
36 輕重率與三特種誤差之關係
37 不等精度觀測之或是值
38 一般平均之精度
39 例
40 觀測之棄卻
習題
第五章 間接觀測之整正及精度
第一節 觀測等式及正等式
41 觀測等式
42 間接觀測之或是值
43 正等式之作法
44 正等式之解法
45 消去法之簡略寫法
46 gauss代入法〔附用對數表解法，杜里德（doolittle）解法〕
第二節 或是值之精度
47 或是值之精度
48 或是值輕重率之求法
49 輕重率等於1時單觀測之平方差
50 或是值及其精度計算之例
習題
第六章 條件觀測之整正及精度
第一節 條件直接觀測
51 條件
52 條件式
53 條件直接觀測之整正
54 計算之例
55 有一個條件時之特別情形
56 視為間接觀測時之整正
57 整正值之精度
第二節 條件間接觀測
58 條件間接觀測
習題
第七章 實驗公式
第一節 實驗公式
59 概說
60 實驗公式形之決定
61 實驗公式內常數之決定
62 實驗公式內係數化為一次項之一般方法
63 例
64 周期等式
習題
第八章 三角測量之整正
第一節 三角網之整正
65 三角測量
66 水平角間之條件
67 測點周圍水平角之整正
68 圓形整正
69 角方程式
70 邊方程式
71 邊方程式之別形
72 心點形之邊方程式
73 邊方程式之記示簡法
74 邊方程式之數
75 圓形整正之條件
76 四邊形之整正
77 方向法
78 用方向法之四邊形整正
79 實例
80 四邊形之近似的整正法
81 兩邊與夾角已定之例
82 四角形中含有一已定三角形之例
83 已定三角形或多角形之心點上未觀測之例
附表 第一，二，三，四，五表五種
附錄 平方及平方根表

Language Chinese
Publication date 民國23[1934]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
最小二乘法
中圖分類
InfoField
O241.2
載體形態
InfoField
211,67頁

Licensing

[edit]
This image is in the public domain because it is a mere mechanical scan or photocopy of a public domain original, or – from the available evidence – is so similar to such a scan or photocopy that no copyright protection can be expected to arise. The original itself is in the public domain for the following reason:
Public domain
This image is now in the public domain in China because its term of copyright has expired.

According to copyright laws of the People's Republic of China (with legal jurisdiction in the mainland only, excluding Hong Kong and Macao), amended November 11, 2020, Works of legal persons or organizations without legal personality, or service works, or audiovisual works, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation. For photography works of natural persons whose copyright protection period expires before June 1, 2021 belong to the public domain. All other works of natural persons enter the public domain 50 years after the death of the creator.
According to copyright laws of Republic of China (currently with jurisdiction in Taiwan, Penghu, Kinmen, Matsu, etc.), all photographs and cinematographic works, and all works whose copyright holder is a juristic person, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation, and all other applicable works enter the public domain 50 years after the death of the creator.

Important note: Works of foreign (non-U.S.) origin must be out of copyright or freely licensed in both their home country and the United States in order to be accepted on Commons. Works of Chinese origin that have entered the public domain in the U.S. due to certain circumstances (such as publication in noncompliance with U.S. copyright formalities) may have had their U.S. copyright restored under the Uruguay Round Agreements Act (URAA) if the work was under copyright in its country of origin on the date that the URAA took effect in that country. (For the People's Republic of China, the URAA took effect on January 1, 1996. For the Republic of China (ROC), the URAA took effect on January 1, 2002.[1])
To uploader: Please provide where the image was first published and who created it or held its copyright.

You must also include a United States public domain tag to indicate why this work is in the public domain in the United States. Note that this work might not be in the public domain in countries that do not apply the rule of the shorter term and have copyright terms longer than life of the author plus 50 years. In particular, Mexico is 100 years, Jamaica is 95 years, Colombia is 80 years, Guatemala and Samoa are 75 years, Switzerland and the United States are 70 years, and Venezuela is 60 years.

čeština ∙ Deutsch ∙ English ∙ português ∙ română ∙ slovenščina ∙ Tagalog ∙ Tiếng Việt ∙ македонски ∙ русский ∙ മലയാളം ∙ ไทย ∙ 한국어 ∙ 日本語 ∙ 简体中文‎ ∙ 繁體中文 ∙ +/−


This tag is designed for use where there may be a need to assert that any enhancements (eg brightness, contrast, colour-matching, sharpening) are in themselves insufficiently creative to generate a new copyright. It can be used where it is unknown whether any enhancements have been made, as well as when the enhancements are clear but insufficient. For known raw unenhanced scans you can use an appropriate {{PD-old}} tag instead. For usage, see Commons:When to use the PD-scan tag.

Note: This tag applies to scans and photocopies only. For photographs of public domain originals taken from afar, {{PD-Art}} may be applicable. See Commons:When to use the PD-Art tag.
This image contains digital watermarking or credits in the image itself. The usage of visible watermarks is discouraged. If a non-watermarked version of the image is available, please upload it under the same file name and then remove this template. Ensure that removed information is present in the image description page and replace this template with {{Metadata from image}} or {{Attribution metadata from licensed image}}.

Caution: Before removing a watermark from a copyrighted image, please read the WMF's analysis of the legal ramifications of doing so, as well as Commons' proposed policy regarding watermarks.

If the old version is still useful, for example if removing the watermark damages the image significantly, upload the new version under a different title so that both can be used. After uploading the non-watermarked version, replace this template with {{Superseded|new filename|version without watermarks}}.
Bahasa Indonesia ∙ italiano ∙ eesti ∙ sicilianu ∙ Deutsch ∙ català ∙ magyar ∙ čeština ∙ română ∙ español ∙ português ∙ English ∙ hrvatski ∙ Plattdüütsch ∙ français ∙ Nederlands ∙ polski ∙ galego ∙ slovenščina ∙ suomi ∙ svenska ∙ Ελληνικά ∙ беларуская (тарашкевіца)‎ ∙ български ∙ македонски ∙ русский ∙ українська ∙ മലയാളം ∙ ไทย ∙ 日本語 ∙ 中文 ∙ 中文（简体）‎ ∙ 中文（繁體）‎ ∙ עברית ∙ العربية ∙ فارسی ∙ +/−

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current13:26, 10 June 2023Thumbnail for version as of 13:26, 10 June 2023835 × 1,179, 295 pages (9.12 MB)PencakeBot (talk | contribs)Upload 最小二乘法 (1/1) by 陸志鴻著 (batch task; nlc:data_416,08jh010849,82937; 民國圖書.4; 最小二乘法)

You cannot overwrite this file.

The following page uses this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:NLC416-08jh010849-82937_最小二乘法.pdf&oldid=773054729"