natural logarithm

<http://www.wikidata.org/entity/Q204037>

logarithm to the base of the mathematical constant e

rdfs:label	"Logaritme neperian"@oc "Logaritmi natyror"@sq "Natural logarifm"@uz "Natural logarithm"@ur "Prirodni logaritam"@bs "alugaritm agaman"@shi "chū-jiân tùi-sò͘"@nan "logarithme naturel"@fr "logarithmo natural"@ia "logarithmus naturalis"@la "logaritm"@smn "logaritm natural"@lmo "logaritm natural"@ro "logaritm neperian"@br "logaritm ëd Napier"@pms "logaritma asli"@ms "logaritma natural"@id "logaritme natural"@ca "logaritmo arrunt"@eu "logaritmo natural"@es "logaritmo natural"@gl "logaritmo natural"@lfn "logaritmo natural"@pt "logaritmo natural"@pt-br "logaritmo naturale"@it "logarytm naturalny"@pl "lunddolaš logaritma"@se "luonnollinen logaritmi"@fi "luâđlaž logaritmm"@sms "lôgarit tự nhiên"@vi "naravni logaritem"@sl "natura logaritmo"@eo "naturaallogaritm"@et "natural logarithm"@en "natural logarithm"@en-ca "natural logarithm"@en-gb "natural loqarifma"@az "naturlig logaritme"@da "naturlig logaritme"@nb "naturliga logaritmen"@sv "naturālais logaritms"@lv "natuurlijke logaritme"@nl "natuurlike logaritme"@af "natürlicher Logarithmus"@de "natūrinis logaritmas"@lt "náttúrlig logaritma"@fo "prirodni logaritam"@sh "prirodni logaritam"@sr-el "prirodzený logaritmus"@sk "přirozený logaritmus"@cs "természetes logaritmus"@hu "φυσικός λογάριθμος"@el "Натурал логарифм"@kk "естествен логаритъм"@bg "лыдлэн натуральной логарифмез"@udm "натураллă логарифм"@cv "натуральний логаритм"@uk "натуральны лагарыфм"@be "натуральны лягарытм"@be-tarask "натуральный логарифм"@ru "природен логаритам"@mk "природни логаритам"@sr "природни логаритам"@sr-ec "բնական լոգարիթմ"@hy "לוגריתם טבעי"@he "لغارتم طبيعي"@ar "لگاریتم طبیعی"@fa "لۆگاریتمی سروشتی"@ckb "प्राकृतिक लघुगणक"@hi "प्राकृतिक लोगारिदम"@ne "இயல் மடக்கை"@ta "ප්රකෘති ලඝුගණක"@si "ลอการิทึมธรรมชาติ"@th "ნატურალური ლოგარითმი"@ka "自然对数"@wuu "自然对数"@zh-cn "自然对数"@zh-hans "自然对数"@zh-sg "自然対数"@ja "自然對數"@yue "自然對數"@zh "自然對數"@zh-hant "自然對數"@zh-hk "自然對數"@zh-tw "自然對數"@lzh "자연로그"@ko
skos:altLabel	"Ln"@he "Ln"@th "Logarithmus naturalis"@de "Logaritm natural"@br "Logaritma alam"@id "Logaritme neperià"@ca "Naperian logarithm"@en "Napierian logarithm"@en "Natural Logarifm"@uz "Naturlige logaritmen"@nb "base e"@fr "base-e logarithm"@en "fonction logarithme"@fr "fonction logarithme naturel"@fr "hyperbolic logarithm"@en "ln"@nl "ln"@sv "ln"@zh "ln"@mul "ln x"@cs "ln x"@en "ln x"@es "ln x"@pt "ln x"@mul "ln(x)"@en "ln(x)"@mul "lnb"@udm "log base e"@en "logarithm base e"@en "logarithme hyperbolique"@fr "logarithme népérien"@fr "logarithmus naturalis"@en "logaritmo neperiano"@es "logaritmo neperiano"@gl "logaritmo neperiano"@pt "logarítmo natural"@pt "logarítmo neperiano"@pt "natural lg"@en "natural log"@en "natural logarithm function"@en "natural logarithmic function"@en "naturlig logaritm"@sv "natuurlijk logaritme"@nl "nepera logaritmo"@eo "neperiaanse logaritme"@nl "neperse logaritme"@af "neperse logaritme"@nl "νεπέριος λογάριθμος"@el "Натурален логаритъм"@bg "Неперов логаритъм"@bg "הלוגריתם הטבעי"@he "לוגריתם בבסיס e"@he "לן"@he "اللوغاريتم الطبيعي"@ar "لوغارتم طبيعي"@ar "ลอการิทึมเนเพียร์"@th "㏑"@eo "㏑"@fa "㏑"@zh "自然对数"@zh "自然対数函数"@ja "自然対数関数"@ja "자연 로그"@ko
schema:description	"Funzione matematica"@it "Logarithmus zur Basis e"@de "e дӥнен лыдлэн логарифмез, кытын e – иррациональной лыд ≈2,71828"@udm "e를 밑으로 하는 로그"@ko "fonction mathématique"@fr "función matemática"@es "função logarítmica com base e"@pt "função logarítmica com base e"@pt-br "logarit cơ số e"@vi "logarithm to the base of the mathematical constant e"@en "logaritm la baza constantei matematice e"@ro "logaritme en base de la constant matemàtica e"@ca "logaritmifunktio"@fi "logaritmo en base e"@gl "logaritmo je la bazo e"@eo "logarytm o podstawie e"@pl "matematická funkce"@cs "λογάριθμος με βάση την μαθηματική σταθερά e"@el "логарифм по основанию e≈2,71828"@ru "логарифмічна функція для обчислення показника степеня, основою котрого є математична константа e≈2.71828"@uk "פונקציה לוגריתמית לחישוב המעריך שבסיסו הוא הקבוע המתמטי e"@he "تابع ریاضی"@fa "لغارتم ذو الأساس e (أو هـ بالعربية)"@ar "’n spesiale geval van die wiskundig gedefinieerde logaritme"@af "ネイピア数を底とする対数"@ja "以常数e为底数的对数"@zh-cn "以常数e为底数的对数"@zh-hans "以常數e為底數的對數"@zh
schema:dateModified	"2026-11-09T07:35:24+00:00"^^xsd:dateTime
schema:version	2566986512
wikibase:identifiers	15
wikibase:sitelinks	66
wikibase:statements	34
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p:direct-normalized/P2347	<http://www.yso.fi/onto/yso/p11567>
p:direct-normalized/P6366	<https://makg.org/entity/56017942>
p:direct-normalized/P7033	<http://vocabulary.curriculum.edu.au/scot/15168>
wdt:P10	<http://commons.wikimedia.org/wiki/Special:FilePath/Ln%28x%29%20ableiten%20-%20Logarithmusfunktionen%20ableiten.webm>
wdt:P10283	"C56017942"
wdt:P10376	"computer-science/natural-logarithm"
	"engineering/natural-logarithm"
	"mathematics/natural-logarithm"
wdt:P10969	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>⁡</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac></mrow><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mo stretchy="false">=</mo><mi>x</mi><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></mfrac></mrow><mo stretchy="false">−</mo><mo stretchy="false">⋯</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P12888	"df-log"
wdt:P1343	ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
wdt:P1417	"topic/natural-logarithm"
wdt:P1568	set of positive real numbers
wdt:P1571	set of real numbers
wdt:P18	<http://commons.wikimedia.org/wiki/Special:FilePath/Log.svg>
wdt:P1851	set of non-negative real numbers
wdt:P2283	Euler's number
wdt:P2347	"11567"
wdt:P2534	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>⁡</mo><mi>x</mi><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mfrac><mrow><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow><mrow><mi>k</mi></mrow></mfrac><mo stretchy="false">=</mo><mi>z</mi><mo stretchy="false">+</mo><mfrac><mrow><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow><mn>2</mn></mrow></mfrac><mo stretchy="false">+</mo><mfrac><mrow><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow><mn>3</mn></mrow></mfrac><mo stretchy="false">+</mo><mo stretchy="false">⋯</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>⁡</mo><mi>x</mi><mo stretchy="false">=</mo><msub><mi>log</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">e</mi></mrow></mrow></msub><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279	logarithm
	polylogarithm
wdt:P2812	"NaturalLogarithm"
wdt:P31	logarithm
	type of mathematical function
	elementary function
wdt:P5610	"transc1#ln"
wdt:P6104	WikiProject Mathematics
wdt:P6366	"56017942"
wdt:P646	"/m/05d2y"
wdt:P7033	"scot/15168"
wdt:P7235	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>⁡</mo><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>log</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7726	"ApproximationOfTheLogFunction"
	"NaturalLogarithm"
wdt:P8865	natural exponential function
wdt:P8885	"자연로그"

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