@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:Q842953 rdfs:label "Teorema de densitat de Lebesgue"@ca,
        "Lebesgue's density theorem"@en,
        "densoteoremo de Lebesgue"@eo,
        "Lebesgue sűrűségi tétele"@hu,
        "Teorema di densità di Lebesgue"@it,
        "ルベーグの密度定理"@ja,
        "르베그 밀도 정리"@ko,
        "Dichtheidsstelling van Lebesgue"@nl,
        "Twierdzenie Lebesgue'a o punktach gęstości"@pl,
        "Теорема о точках плотности"@ru,
        "Теорема Лебега про щільність"@uk,
        "勒贝格密度定理"@zh,
        "勒贝格密度定理"@zh-hans,
        "勒貝格密度定理"@zh-hant ;
    schema1:dateModified "2026-11-05T16:00:49+00:00"^^xsd:dateTime ;
    schema1:description "teorema matemàtic"@ca,
        "mathematischer Satz"@de,
        "theorem that, the density of a Lebesgue measurable set in Euclidean space is exists and is 0 or 1 almost everywhere"@en,
        "twierdzenie teorii miary"@pl ;
    schema1:version 2565062797 ;
    wikibase:identifiers 2 ;
    wikibase:sitelinks 8 ;
    wikibase:statements 15 ;
    skos:altLabel "Lebesgue-féle sűrűségtétel"@hu,
        "Dichtsheidsstelling van Lebesgue"@nl ;
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    p:P14039 wds:Q842953-ECD6F342-2010-439C-A497-915F7F2C26E2 ;
    p:P18 wds:Q842953-27d42254-4ba5-870d-c646-bde594ff5030 ;
    p:P2534 wds:Q842953-b5fb6919-47a3-000a-b797-ff4c8b2eb6e2 ;
    p:P31 wds:Q842953-2DFAD17A-A17E-4274-9344-12EAB592D58B ;
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    p:P6366 wds:Q842953-C73A9D9D-951F-42EC-B6E4-E544A0330262 ;
    p:P646 wds:Q842953-1C57F5DF-06DD-4C48-B198-C64D913C2A3E ;
    p:P7235 wds:Q842953-17de65da-461a-177c-8cd9-caa2dd0964fc,
        wds:Q842953-30c8d1c0-45ac-44e4-353d-824c41dcc2bd,
        wds:Q842953-6532108d-4267-d688-4b6b-fe34df5b9215,
        wds:Q842953-9196e64a-4115-5622-0e45-3f57591b0cb9,
        wds:Q842953-dfe1456a-4dcb-adc4-4e86-1bf18cb9c241,
        wds:Q842953-f11fdc99-4ad4-ee9a-4ae0-94560d810b9c ;
    wdtn:P6366 <https://makg.org/entity/2776367690> ;
    wdt:P138 wd:Q206005 ;
    wdt:P14039 wd:Q2275191 ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Lebesgue%27s%20Density%20Theorem.jpg> ;
    wdt:P2534 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munder><mo form=\"prefix\">lim</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>r</mi><mo stretchy=\"false\" accent=\"false\">→</mo><mn>0</mn></mrow></mrow></munder><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>μ</mi><mo stretchy=\"false\">(</mo><mi>A</mi><mo stretchy=\"false\">∩</mo><msub><mo data-mjx-texclass=\"OP\" mathvariant=\"normal\">ball</mo><mrow data-mjx-texclass=\"ORD\"><mi>r</mi></mrow></msub><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">)</mo></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>μ</mi><mo stretchy=\"false\">(</mo><msub><mo data-mjx-texclass=\"OP\" mathvariant=\"normal\">ball</mo><mrow data-mjx-texclass=\"ORD\"><mi>r</mi></mrow></msub><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">)</mo></mrow></mrow></mfrac></mrow><mo stretchy=\"false\">∈</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo fence=\"false\" stretchy=\"false\">}</mo><mspace width=\"1em\"></mspace><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">a</mi><mo mathvariant=\"normal\" stretchy=\"false\">.</mo><mi mathvariant=\"normal\">e</mi><mo mathvariant=\"normal\" stretchy=\"false\">.</mo></mrow></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P31 wd:Q65943 ;
    wdt:P361 wd:Q944443 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2776367690" ;
    wdt:P646 "/m/0bsr_w" ;
    wdt:P7235 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>A</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>r</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>μ</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mo data-mjx-texclass=\"OP\" mathvariant=\"normal\">ball</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mo stretchy=\"false\">∩</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">a</mi><mo mathvariant=\"normal\" stretchy=\"false\">.</mo><mi mathvariant=\"normal\">e</mi><mo mathvariant=\"normal\" stretchy=\"false\">.</mo></mrow></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> .

