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单词 napierian
释义

Napierianadj.

Brit. /neɪˈpɪərɪən/, /nəˈpɪərɪən/, U.S. /neɪˈpɪriən/
Forms: 1700s– Napierian, 1800s– Naperian. Also with lower-case initial.
Origin: From a proper name, combined with an English element. Etymons: proper name Napier , -ian suffix.
Etymology: < the name of John Napier (see Napier's bones n.) + -ian suffix.
Mathematics.
Invented by or associated with Napier; esp. in Napierian logarithm n. a logarithm to the base e (2.171828…); = natural logarithm n. at natural adj. and adv. Compounds 2.
ΚΠ
1695 Philos. Trans. (Royal Soc.) 19 60 If the Index be taken 10000 &c. as in the case of Napeir's Logarithms, they will be simply [etc.].
1744 Philos. Trans. (Royal Soc.) 43 70 The quantity that is here called α, is that which some call the hyperbolic logarithm;..lastly, it is by some called Neper's logarithm.]
1752 Philos. Trans. 1749–50 (Royal Soc.) 46 562 Of this kind are the hyperbolical Logarithms, or those first made by their Inventor the Lord Napier: Consequently the Logarithms to that Spiral which cuts its Rays at Angles of 45 Degrees, are of the Napierian Kind.
1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 26 A system of logarithms, which we shall call Naperian, from the name of Naper their inventor.
c1865 J. Wylde Circle of Sci. I. 517/1 This number e..is called the base of the Napierian Logarithms.
1906 J. A. Fleming Princ. Electr. Wave Telegr. i. 21 The Napierian logarithm of the ratio of any maximum current or ordinate to the next maximum in the opposite direction multiplied by twice the frequency, gives us the value of the damping coefficient.
1929 Bell Syst. Techn. Jrnl. 8 2 It was further suggested that the naperian unit be called the ‘neper’ and that the fundamental decimal unit be called the ‘bel’.
1974 Encycl. Brit. Macropædia XI. 682/2 For the modern Naperian logarithm (i.e., the logarithm to the base e) the comparison would be between points moving in two straight lines.
1997 Jrnl. Biogeogr. 24 621/1 e is the basis of the Napierian natural logarithms, and y is an equation of regression.
This entry has been updated (OED Third Edition, June 2003; most recently modified version published online March 2022).
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adj.1752
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