@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q204037 rdfs:label "natuurlike logaritme"@af,
        "لغارتم طبيعي"@ar,
        "natural loqarifma"@az,
        "натуральны лагарыфм"@be,
        "натуральны лягарытм"@be-tarask,
        "естествен логаритъм"@bg,
        "logaritm neperian"@br,
        "Prirodni logaritam"@bs,
        "logaritme natural"@ca,
        "لۆگاریتمی سروشتی"@ckb,
        "přirozený logaritmus"@cs,
        "натураллă логарифм"@cv,
        "naturlig logaritme"@da,
        "natürlicher Logarithmus"@de,
        "φυσικός λογάριθμος"@el,
        "natural logarithm"@en,
        "natural logarithm"@en-ca,
        "natural logarithm"@en-gb,
        "natura logaritmo"@eo,
        "logaritmo natural"@es,
        "naturaallogaritm"@et,
        "logaritmo arrunt"@eu,
        "لگاریتم طبیعی"@fa,
        "luonnollinen logaritmi"@fi,
        "náttúrlig logaritma"@fo,
        "logarithme naturel"@fr,
        "logaritmo natural"@gl,
        "לוגריתם טבעי"@he,
        "प्राकृतिक लघुगणक"@hi,
        "természetes logaritmus"@hu,
        "բնական լոգարիթմ"@hy,
        "logarithmo natural"@ia,
        "logaritma natural"@id,
        "logaritmo naturale"@it,
        "自然対数"@ja,
        "ნატურალური ლოგარითმი"@ka,
        "Натурал логарифм"@kk,
        "자연로그"@ko,
        "logarithmus naturalis"@la,
        "logaritmo natural"@lfn,
        "logaritm natural"@lmo,
        "natūrinis logaritmas"@lt,
        "naturālais logaritms"@lv,
        "自然對數"@lzh,
        "природен логаритам"@mk,
        "logaritma asli"@ms,
        "chū-jiân tùi-sò͘"@nan,
        "naturlig logaritme"@nb,
        "प्राकृतिक लोगारिदम"@ne,
        "natuurlijke logaritme"@nl,
        "Logaritme neperian"@oc,
        "logarytm naturalny"@pl,
        "logaritm ëd Napier"@pms,
        "logaritmo natural"@pt,
        "logaritmo natural"@pt-br,
        "logaritm natural"@ro,
        "натуральный логарифм"@ru,
        "lunddolaš logaritma"@se,
        "prirodni logaritam"@sh,
        "alugaritm agaman"@shi,
        "ප්රකෘති ලඝුගණක"@si,
        "prirodzený logaritmus"@sk,
        "naravni logaritem"@sl,
        "logaritm"@smn,
        "luâđlaž logaritmm"@sms,
        "Logaritmi natyror"@sq,
        "природни логаритам"@sr,
        "природни логаритам"@sr-ec,
        "prirodni logaritam"@sr-el,
        "naturliga logaritmen"@sv,
        "இயல் மடக்கை"@ta,
        "ลอการิทึมธรรมชาติ"@th,
        "лыдлэн натуральной логарифмез"@udm,
        "натуральний логаритм"@uk,
        "Natural logarithm"@ur,
        "Natural logarifm"@uz,
        "lôgarit tự nhiên"@vi,
        "自然对数"@wuu,
        "自然對數"@yue,
        "自然對數"@zh,
        "自然对数"@zh-cn,
        "自然对数"@zh-hans,
        "自然對數"@zh-hant,
        "自然對數"@zh-hk,
        "自然对数"@zh-sg,
        "自然對數"@zh-tw ;
    schema1:dateModified "2026-11-09T07:35:24+00:00"^^xsd:dateTime ;
    schema1:description "’n spesiale geval van die wiskundig gedefinieerde logaritme"@af,
        "لغارتم ذو الأساس e (أو هـ بالعربية)"@ar,
        "logaritme en base de la constant matemàtica e"@ca,
        "matematická funkce"@cs,
        "Logarithmus zur Basis e"@de,
        "λογάριθμος με βάση την μαθηματική σταθερά e"@el,
        "logarithm to the base of the mathematical constant e"@en,
        "logaritmo je la bazo e"@eo,
        "función matemática"@es,
        "تابع ریاضی"@fa,
        "logaritmifunktio"@fi,
        "fonction mathématique"@fr,
        "logaritmo en base e"@gl,
        "פונקציה לוגריתמית לחישוב המעריך שבסיסו הוא הקבוע המתמטי e"@he,
        "Funzione matematica"@it,
        "ネイピア数を底とする対数"@ja,
        "e를 밑으로 하는 로그"@ko,
        "logarytm o podstawie e"@pl,
        "função logarítmica com base e"@pt,
        "função logarítmica com base e"@pt-br,
        "logaritm la baza constantei matematice e"@ro,
        "логарифм по основанию e≈2,71828"@ru,
        "e дӥнен лыдлэн логарифмез, кытын e – иррациональной лыд ≈2,71828"@udm,
        "логарифмічна функція для обчислення показника степеня, основою котрого є математична константа e≈2.71828"@uk,
        "logarit cơ số e"@vi,
        "以常數e為底數的對數"@zh,
        "以常数e为底数的对数"@zh-cn,
        "以常数e为底数的对数"@zh-hans ;
    schema1:version 2566986512 ;
    wikibase:identifiers 15 ;
    wikibase:sitelinks 66 ;
    wikibase:statements 34 ;
    skos:altLabel "neperse logaritme"@af,
        "اللوغاريتم الطبيعي"@ar,
        "لوغارتم طبيعي"@ar,
        "Натурален логаритъм"@bg,
        "Неперов логаритъм"@bg,
        "Logaritm natural"@br,
        "Logaritme neperià"@ca,
        "ln x"@cs,
        "Logarithmus naturalis"@de,
        "νεπέριος λογάριθμος"@el,
        "Naperian logarithm"@en,
        "Napierian logarithm"@en,
        "base-e logarithm"@en,
        "hyperbolic logarithm"@en,
        "ln x"@en,
        "ln(x)"@en,
        "log base e"@en,
        "logarithm base e"@en,
        "logarithmus naturalis"@en,
        "natural lg"@en,
        "natural log"@en,
        "natural logarithm function"@en,
        "natural logarithmic function"@en,
        "nepera logaritmo"@eo,
        "㏑"@eo,
        "ln x"@es,
        "logaritmo neperiano"@es,
        "㏑"@fa,
        "base e"@fr,
        "fonction logarithme"@fr,
        "fonction logarithme naturel"@fr,
        "logarithme hyperbolique"@fr,
        "logarithme népérien"@fr,
        "logaritmo neperiano"@gl,
        "Ln"@he,
        "הלוגריתם הטבעי"@he,
        "לוגריתם בבסיס e"@he,
        "לן"@he,
        "Logaritma alam"@id,
        "自然対数函数"@ja,
        "自然対数関数"@ja,
        "자연 로그"@ko,
        "ln"@mul,
        "ln x"@mul,
        "ln(x)"@mul,
        "Naturlige logaritmen"@nb,
        "ln"@nl,
        "natuurlijk logaritme"@nl,
        "neperiaanse logaritme"@nl,
        "neperse logaritme"@nl,
        "ln x"@pt,
        "logaritmo neperiano"@pt,
        "logarítmo natural"@pt,
        "logarítmo neperiano"@pt,
        "ln"@sv,
        "naturlig logaritm"@sv,
        "Ln"@th,
        "ลอการิทึมเนเพียร์"@th,
        "lnb"@udm,
        "Natural Logarifm"@uz,
        "ln"@zh,
        "㏑"@zh,
        "自然对数"@zh ;
    p:P10 wds:Q204037-109b167d-42ab-12f9-3e2d-a4eea902ca00 ;
    p:P10283 wds:Q204037-C5DC1143-23E3-4B17-9CAD-4947F7FD7411 ;
    p:P10376 wds:Q204037-1756cb55-4264-24d0-030d-3af0ea4f90fe,
        wds:Q204037-78bdad27-4f5a-4f75-aedf-bb159f5dde76,
        wds:Q204037-7c400622-48a4-c8f3-29a6-ff1ff54a1664 ;
    p:P10969 wds:Q204037-dcdb26dc-4e4f-3554-df3e-9cf89d9d82f3 ;
    p:P12888 wds:Q204037-0BD6AF5C-6244-4542-B70E-E0A51A58B6AA ;
    p:P1343 wds:Q204037-19d7a35e-447d-0b7c-d86e-7b4a09fe6897 ;
    p:P1417 wds:Q204037-442AE832-2C4B-46FF-8FD0-C4ADDC39425A ;
    p:P1568 wds:Q204037-965ccb3c-4e52-cbcf-6bfc-865a7461aca4 ;
    p:P1571 wds:Q204037-5fdd96f7-4648-5b9b-2479-cbfb6f007980 ;
    p:P18 wds:Q204037-e4013916-4331-6e1f-7290-9abadb14d0b1 ;
    p:P1851 wds:Q204037-e6c0660e-4d37-830f-10cc-79b680ff7792 ;
    p:P2283 wds:Q204037-8EB94EDB-884F-481E-B9D5-F4F55FF531F5 ;
    p:P2347 wds:Q204037-149FDB5F-E703-47A5-A26C-E8527CF8CC51 ;
    p:P2534 wds:Q204037-1c53ebee-40a9-6302-0bca-f9809a43f2c6,
        wds:Q204037-6c3e8a23-432e-0d7e-4f67-20859dc86cdc ;
    p:P279 wds:Q204037-08741F79-41F8-4AC2-A78C-47DEA05330BC,
        wds:Q204037-7368dc11-4849-554e-7f2e-d93e0890e6a2 ;
    p:P2812 wds:Q204037-0A91F5A1-B338-49F6-8935-0C0C21544782 ;
    p:P31 wds:Q204037-12a40840-49a8-4308-05a0-66e32c2f160e,
        wds:Q204037-332550d6-4dad-20a2-5ab5-c34422dff3c9,
        wds:Q204037-6ba0ac62-48da-4429-e8a6-4fb3abb95a22 ;
    p:P5610 wds:Q204037-D8B204D8-FB48-467E-84F4-CA29AE2F0C6E ;
    p:P6104 wds:Q204037-3012A248-5F86-42D6-8140-341CEACE2A4B ;
    p:P6366 wds:Q204037-CBF66C68-51C2-41C6-A958-D8C6B20B6E54 ;
    p:P646 wds:Q204037-824A55D8-D4EE-4864-A9E3-ECA4AD7382ED ;
    p:P7033 wds:Q204037-56F44AB1-00AC-4DE4-864A-5AF4BC480567 ;
    p:P7235 wds:Q204037-97270e57-4865-fa06-25de-344cac6acb67,
        wds:Q204037-d7efa10c-4def-ae99-21b6-8b824e43f002 ;
    p:P7726 wds:Q204037-28d5f57c-4187-1e36-945b-2bedd4ecfd6b,
        wds:Q204037-692d632d-438e-aca4-440e-6120893f670e ;
    p:P8865 wds:Q204037-a16b7ef1-4379-c03f-e590-4a8ceefdbd74 ;
    p:P8885 wds:Q204037-aafe1c98-42a7-f118-f705-b2a69e6d0ddb ;
    wdtn:P2347 <http://www.yso.fi/onto/yso/p11567> ;
    wdtn:P6366 <https://makg.org/entity/56017942> ;
    wdtn: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>&#x2061;</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\">&#x2211;</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\">&#x221E;</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\">&#x2212;</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\">&#x2212;</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\">&#x2212;</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\">&#x2212;</mo><mo stretchy=\"false\">&#x22EF;</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P12888 "df-log" ;
    wdt:P1343 wd:Q109490582 ;
    wdt:P1417 "topic/natural-logarithm" ;
    wdt:P1568 wd:Q47494165 ;
    wdt:P1571 wd:Q1174982 ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Log.svg> ;
    wdt:P1851 wd:Q91311892 ;
    wdt:P2283 wd:Q82435 ;
    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>&#x2061;</mo><mi>x</mi><mo stretchy=\"false\">=</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</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\">&#x221E;</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\">&#x22EF;</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>&#x2061;</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 wd:Q11197,
        wd:Q1238449 ;
    wdt:P2812 "NaturalLogarithm" ;
    wdt:P31 wd:Q11197,
        wd:Q47279819,
        wd:Q824282 ;
    wdt:P5610 "transc1#ln" ;
    wdt:P6104 wd:Q8487137 ;
    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>&#x2061;</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 wd:Q47306354 ;
    wdt:P8885 "자연로그" .

