@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:Q1564541 rdfs:label "مبرهنة برون فروبانيوس"@ar,
        "Teorema de Perron-Frobenius"@ca,
        "Satz von Perron-Frobenius"@de,
        "Perron–Frobenius theorem"@en,
        "teoremo de Perron-Frobenius"@eo,
        "Teorema de Perron-Frobenius"@es,
        "Perron–Frobenius theorem"@fa,
        "théorème de Perron-Frobenius"@fr,
        "משפט פרון-פרובניוס"@he,
        "teorema di Perron-Frobenius"@it,
        "ペロン＝フロベニウスの定理"@ja,
        "페론-프로베니우스 정리"@ko,
        "Perron–Frobenius theorem"@nl,
        "teorema de Perron-Frobenius"@pt,
        "teorema Perron–Frobenius"@ro,
        "теорема Фробениуса — Перрона"@ru,
        "Perron-Frobeniusov izrek"@sl,
        "Perron-Frobenius sats"@sv,
        "теорема Перрона — Фробеніуса"@uk,
        "佩龙一弗罗宾尼斯定理"@zh,
        "佩龙一弗罗宾尼斯定理"@zh-cn,
        "佩龙一弗罗宾尼斯定理"@zh-hans,
        "佩龍一弗羅賓尼斯定理"@zh-hant ;
    schema1:dateModified "2026-02-12T18:20:24+00:00"^^xsd:dateTime ;
    schema1:description "teorema matemàtic"@ca,
        "mathematischer Satz"@de,
        "theorem"@en,
        "teorema"@it,
        "線型代数学の分野における定理"@ja,
        "теорема в галузі лінійної алгебри"@uk ;
    schema1:version 2462906057 ;
    wikibase:identifiers 3 ;
    wikibase:sitelinks 14 ;
    wikibase:statements 9 ;
    skos:altLabel "مبرهنه برون فروبانيوس"@ar ;
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        wds:Q1564541-d3a9dd9b-4573-8358-4942-020f19bdb1b8 ;
    p:P2534 wds:Q1564541-BFA73921-9270-4202-AB6C-C736440E6639 ;
    p:P2812 wds:Q1564541-69817FB2-304A-4AD4-B01E-B36AE49042C3 ;
    p:P31 wds:Q1564541-81CC9CF3-763A-4A75-B62A-92A0262E6BEA ;
    p:P361 wds:Q1564541-832B7B2E-A5E2-49EF-A4D8-67B9B7991066 ;
    p:P6104 wds:Q1564541-DE6B5CE2-8A24-45B5-9E01-35925ABE7D8F ;
    p:P6366 wds:Q1564541-E9BF5300-CFFC-4F1F-B5D8-B4E283CDDE76 ;
    p:P646 wds:Q1564541-9364A81C-0308-4274-A991-1E69CF3255C3 ;
    wdtn:P6366 <https://makg.org/entity/2777521113> ;
    wdt:P138 wd:Q57228,
        wd:Q65189 ;
    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\"><munder><mi>min</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></munder><munder><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mi>j</mi></mrow></munder><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy=\"false\">&#x2264;</mo><mi>r</mi><mo stretchy=\"false\">&#x2264;</mo><munder><mi>max</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></munder><munder><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mi>j</mi></mrow></munder><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "FrobeniusTheorem" ;
    wdt:P31 wd:Q65943 ;
    wdt:P361 wd:Q944443 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2777521113" ;
    wdt:P646 "/m/058_14" .