@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:Q2723749 rdfs:label "دالة أويلر"@ar,
        "funció d'Euler"@ca,
        "Euler function"@en,
        "funkcio de Euler"@eo,
        "función de Euler"@es,
        "تابع اویلر"@fa,
        "fonction d'Euler"@fr,
        "Función de Euler"@gl,
        "funzione di Eulero"@it,
        "オイラー関数"@ja,
        "អនុគមន៍អយល័រ"@km,
        "오일러 함수"@ko,
        "Eilera funkcija"@lv,
        "função de Euler"@pt,
        "функция Эйлера"@ru,
        "歐拉函數"@zh,
        "欧拉函数"@zh-hans,
        "歐拉函數"@zh-hant,
        "歐拉函數"@zh-hk ;
    schema1:dateModified "2024-10-09T08:32:26+00:00"^^xsd:dateTime ;
    schema1:description "the mathematical function ∏ₖ₌₁^∞ (1−𝑞ᵏ)"@en,
        "la funkcio ∏ₖ₌₁^∞ (1−𝑞ᵏ) difinita sur la kompleksa unuradiusa disko"@eo,
        "fonction mathématique"@fr,
        "a función matemática  ∏ₖ₌₁^∞ (1−𝑞ᵏ)"@gl,
        "funzione matematica"@it,
        "função matemática"@pt ;
    schema1:version 2258155241 ;
    wikibase:identifiers 2 ;
    wikibase:sitelinks 12 ;
    wikibase:statements 10 ;
    skos:altLabel "Funcion de Euler"@es,
        "欧拉函数"@zh ;
    p:P138 wds:q2723749-93D0E48D-FB03-477E-A739-749C5EDC466D ;
    p:P18 wds:Q2723749-99f15ad3-4175-c89a-2345-ad6682618280 ;
    p:P1889 wds:Q2723749-f67f840a-49f1-547f-bb42-9a3f17d239be ;
    p:P2534 wds:Q2723749-9756b87e-4fc4-2031-72b6-15d04fc315d9 ;
    p:P31 wds:Q2723749-10738c56-42fa-2358-86c4-7d88b2a60d71 ;
    p:P6366 wds:Q2723749-399CA056-E47E-4C8F-846A-94039D77C5E2 ;
    p:P646 wds:Q2723749-92FD0992-81DB-413C-BCE8-FB9C5483805A ;
    p:P7235 wds:Q2723749-068966de-4cdd-f224-db42-9320ca655dc3,
        wds:Q2723749-3f71e0e6-4ba3-c552-142a-4a91f6d8aaea,
        wds:Q2723749-569e638c-4645-7e18-1efa-dec6eb27e076 ;
    wdtn:P6366 <https://makg.org/entity/51524170> ;
    wdt:P138 wd:Q7604 ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Euler%20function.png> ;
    wdt:P1889 wd:Q190026 ;
    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>&#x03D5;</mi><mo stretchy=\"false\">(</mo><mi>q</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x220F;</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><mo stretchy=\"false\">(</mo><mn>1</mn><mo stretchy=\"false\">&#x2212;</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msup><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">(</mo><mi>q</mi><mo>;</mo><mi>q</mi><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></msub><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><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>0</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></munderover></mstyle><mi>p</mi><mo stretchy=\"false\">(</mo><mi>k</mi><mo stretchy=\"false\">)</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P31 wd:Q207476 ;
    wdt:P6366 "51524170" ;
    wdt:P646 "/m/073jvh" ;
    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>&#x03D5;</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\"><mi>p</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\"><mo stretchy=\"false\">(</mo><mspace width=\"0.5em\"></mspace><mo>;</mo><mspace width=\"0.5em\"></mspace><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> .

