natural logarithm

English

Etymology

From (deprecated template usage) [etyl]  logarithmus nātūrālis, coined in 1668 by Nicholas Mercator in his book Logarithmo-technica.

Noun

natural logarithm (plural natural logarithms)

1. (mathematics) The logarithm in base e: either the function that given x returns y such that e^y = x, or the value of y given by the function.

   The natural logarithm can be used to integrate ¹⁄_x.

Synonyms

• hyperbolic logarithm
• ln
• Naperian logarithm
• Napierian logarithm

 

Related terms

• common logarithm
• logarithm

 

Translations

logarithm in base e

• Chinese:

  Mandarin: 自然對數／自然对数 (zh) (zìrán duìshù), 自然对数 (zh) (zìrán duìshù)

• Czech: přirozený logaritmus (cs) m
• Finnish: luonnollinen logaritmi
• French: logarithme naturel (fr), logarithme népérien (fr)
• Galician: logaritmo natural m
• Georgian: ნატურალური ლოგარითმი (naṭuraluri logaritmi)
• German: natürlicher Logarithmus m
• Hungarian: természetes alapú logaritmus (hu)
• Icelandic: náttúrlegur logri m
• (deprecated template usage) {{trans-mid}}
• Japanese: 自然対数 (ja) (しぜんたいすう, shizen-taisū)
• Macedonian: природен логари́там m (priroden logarítam)
• Portuguese: logaritmo natural m
• Romanian: logaritm natural m, logaritmi naturali m pl
• Russian: натура́льный логари́фм m (naturálʹnyj logarífm)
• Serbo-Croatian: prirodni logaritam m
• Spanish: logaritmo natural m
• Swedish: naturliga logaritmen c
• Tagalog: likas na logpaulit

Further reading

• Natural logarithm on Wikipedia.Wikipedia