翻訳と辞書 Words near each other ・ Napier Sturt, 3rd Baron Alington ・ Napier Township, Bedford County, Pennsylvania ・ Napier Waller ・ Napier's bones ・ Napier, New South Wales ・ Napier, New Zealand ・ Napier, Ontario ・ Napier, West Virginia ・ Napier, Western Cape ・ Napier-Bentley ・ Napier-Campbell Blue Bird ・ Napier-Hastings Urban Area ・ Napier-Heston Racer ・ Napier-Railton ・ Napier88 ・ Napierian logarithm ・ Napierki ・ Napierville (electoral district) ・ Napierville (provincial electoral district) ・ Napierville Junction Railway ・ Napierville, Quebec ・ Napierville-Laprairie ・ Napili, Hawaii ・ Napili-Honokowai, Hawaii ・ Napimbo ・ Napinka ・ Napir ・ Napisten Hava ・ Napitik ・ Napitkhali Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Napierian logarithm ： ウィキペディア英語版 Napierian logarithm The term Napierian logarithm or Naperian logarithm, named after John Napier, is often used to mean the natural logarithm. However, if it is taken to mean the "logarithms" as originally produced by Napier, it is a function given by (in terms of the modern logarithm): : $\backslash mathrm(x)\; =\; \backslash frac\}\}.$ (Since this is a quotient of logarithms, the base of the logarithm chosen is irrelevant.) It is not a logarithm to any particular base in the modern sense of the term; however, it can be rewritten as: : $\backslash mathrm(x)\; =\; \backslash log\_\}\; 10^7\; -\; \backslash log\_\}\; x$ and hence it is a linear function of a particular logarithm, and so satisfies identities quite similar to the modern logarithm, such as : $\backslash mathrm(xy)\; =\; \backslash mathrm(x)+\backslash mathrm(y)-161180950$ == Properties == Napier's "logarithm" is related to the natural logarithm by the relation : $\backslash mathrm\; (x)\; \backslash approx\; 9999999.5\; (16.11809565\; -\; \backslash ln\; x)$ and to the common logarithm by : $\backslash mathrm\; (x)\; \backslash approx\; 23025850\; (7\; -\; \backslash log\_\; x).$ Note that : $16.11809565\; \backslash approx\; 7\; \backslash ln\; \backslash left(10\backslash right)$ and : $23025850\; \backslash approx\; 10^7\; \backslash ln\; (10).$ For further detail, see Logarithm: from Napier to Euler. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Napierian logarithm」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.