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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| 78_103.pdf | 520.95 kB | Adobe PDF | 見る/開く |
| タイトル: | Laplace's calculations of length of the meter |
| 著者: | Morimune, Kimio |
| 著者名の別形: | モリムネ, キミオ |
| キーワード: | length of the meter method of least squares Legendre Gauss Laplace |
| 発行日: | Dec-2009 |
| 出版者: | Graduate School of Economics, Kyoto University |
| 引用: | Kimio Morimune; "Laplace's calculations of length of the meter", The Kyoto Economic Review, Vol. 78, pp.103-114 (2009) . |
| 誌名: | The Kyoto Economic Review |
| 巻: | 78 |
| 号: | 2 |
| 開始ページ: | 103 |
| 終了ページ: | 114 |
| 抄録: | Laplace's calculations to derive the length of the meter are described. It is noted that any form of the method of least squares is not used in his determination of the length of the meter. Instead, he used two equations to solve for two unknowns that are necessary to determine the length of the meter. In Appendix 1, these two equations are derived as the asymptotic expansion of the elliptic integral derived by Bessel. Some estimation results obtained by the method of least squares, namely, results of calculations by Legendre and by Stigler, are summarized in Appendix 2. |
| DOI: | 10.11179/ker.78.103 |
| URI: | http://hdl.handle.net/2433/108643 |
| 出現コレクション: | Vol.78 No.2 |
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