natural logarithm

English

Etymology

From New Latin logarithmus nātūrālis, coined in 1668 by Nicholas Mercator in his book Logarithmo-technica.

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium. Particularly: “why ‘natural’?”)

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

• Afrikaans: natuurlike logaritme
• Arabic: لوغاريتم طبيعي
• Armenian: բնական լոգարիթմ (bnakan logaritʻm)
• Azerbaijani: natural loqarifm
• Belarusian: натуральны лагарыфм m (naturalʹny laharyfm)
• Bulgarian: естествен логаритъм m (estestven logaritǎm)
• Catalan: logaritme natural
• Chinese:

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

• Czech: přirozený logaritmus (cs) m
• Danish: naturlig logaritme
• Dutch: natuurlijke logaritme
• Estonian: naturaallogaritm
• Finnish: luonnollinen logaritmi
• French: logarithme naturel (fr), logarithme népérien (fr)
• Galician: logaritmo natural m
• Georgian: ნატურალური ლოგარითმი (naṭuraluri logaritmi)
• German: natürlicher Logarithmus m
• Greek: φυσικός λογάριθμος (el) m (fysikós logárithmos)
• Hebrew: לוגריתם טבעי
• Hindi: प्राकृतिक लघुगणक (prākŕtik laghugṇak)
• Hungarian: természetes alapú logaritmus (hu)
• Icelandic: náttúrlegur logri m
• Italian: logaritmo naturale m
• Japanese: 自然対数 (ja) (しぜんたいすう, shizen-taisū)
• Korean: 자연로그 (jayeollogeu)
• Latvian: naturālais logaritms
• Lithuanian: natūrinis logaritmas
• Macedonian: природен логари́там m (priroden logarítam)
• Norwegian: naturlig logaritme
• Persian: لگاریتم طبیعی
• Polish: logarytm naturalny (pl) m
• Portuguese: logaritmo natural m
• Romanian: logaritm natural m
• Russian: натура́льный логари́фм m (naturálʹnyj logarífm)
• Serbo-Croatian: prirodni logaritam m
• Slovene: naravni logaritem m
• Spanish: logaritmo natural m
• Swedish: naturliga logaritmen c
• Tagalog: likas na logpaulit
• Tamil: இயல் மடக்கை (iyal maṭakkai)
• Thai: ลอการิทึมธรรมชาติ
• Ukrainian: натуральний логарифм m (naturalʹnyj loharyfm)
• Urdu: قدرتی لاگرتھم

Further reading

• Natural logarithm on Wikipedia.Wikipedia