@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@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:Q176674 rdfs:label "تباين الأخوين ماركوف"@ar,
        "Markow-Ungleichung"@de,
        "Ανισότητα αδελφών Μάρκοφ"@el,
        "Markov brothers' inequality"@en,
        "نابرابری برادران مارکوف"@fa,
        "inégalité des frères Markov"@fr,
        "Disuguaglianza dei fratelli Markov"@it,
        "Марково неравенство"@mk,
        "Markov brothers' inequality"@nl ;
    schema1:dateModified "2024-08-01T08:48:54+00:00"^^xsd:dateTime ;
    schema1:description "inequality proved by Andrey Markov and Vladimir Markov"@en ;
    schema1:version 2217928594 ;
    wikibase:identifiers 2 ;
    wikibase:sitelinks 6 ;
    wikibase:statements 12 ;
    p:P138 wds:Q176674-930f78da-42f1-f594-080c-eeb4816fa970,
        wds:Q176674-d6c5095a-4913-aa42-0bcb-4faf33af8fa5 ;
    p:P1889 wds:Q176674-34b7c3e2-401b-cfdf-6d22-b45d53b641f8 ;
    p:P2534 wds:Q176674-dc98597c-47b9-8b2f-93a6-87df7981c6ab ;
    p:P2579 wds:Q176674-fad7fb68-44fb-b944-dc98-78136828dcd6 ;
    p:P31 wds:Q176674-81391d69-4432-a93a-8b92-afb14e4852f5,
        wds:Q176674-82919622-437b-85da-0458-180f044dd178 ;
    p:P6104 wds:Q176674-04371223-7423-4406-BE88-35127311F4CC ;
    p:P6366 wds:Q176674-93EC34A2-D384-4BE3-BDBE-472CA665687B ;
    p:P646 wds:Q176674-C7FF0B3D-5C90-4478-9743-CDB850A09380 ;
    p:P7235 wds:Q176674-b0fb5dce-4fdf-3c49-321a-cd0f3d317d5c,
        wds:Q176674-e20c1b81-4289-5d2d-1795-ba4790c31a1f ;
    wdtn:P6366 <https://makg.org/entity/2778525154> ;
    wdt:P138 wd:Q176659,
        wd:Q176685 ;
    wdt:P1889 wd:Q842436 ;
    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>max</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn><mo stretchy=\"false\">&#x2264;</mo><mi>x</mi><mo stretchy=\"false\">&#x2264;</mo><mn>1</mn></mrow></mrow></munder><mo stretchy=\"false\">|</mo><msup><mi>P</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>k</mi><mo stretchy=\"false\">)</mo></mrow></mrow></msup><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">|</mo><mo stretchy=\"false\">&#x2264;</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msup><mi>n</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">(</mo><msup><mi>n</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">&#x2212;</mo><msup><mn>1</mn><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">(</mo><msup><mi>n</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">&#x2212;</mo><msup><mn>2</mn><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">&#x22EF;</mo><mo stretchy=\"false\">(</mo><msup><mi>n</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">&#x2212;</mo><mo stretchy=\"false\">(</mo><mi>k</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">)</mo></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mn>1</mn><mo stretchy=\"false\">&#x22C5;</mo><mn>3</mn><mo stretchy=\"false\">&#x22C5;</mo><mn>5</mn><mo stretchy=\"false\">&#x22EF;</mo><mo stretchy=\"false\">(</mo><mn>2</mn><mi>k</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn><mo stretchy=\"false\">)</mo></mrow></mrow></mfrac></mrow><munder><mi>max</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn><mo stretchy=\"false\">&#x2264;</mo><mi>x</mi><mo stretchy=\"false\">&#x2264;</mo><mn>1</mn></mrow></mrow></munder><mo stretchy=\"false\">|</mo><mi>P</mi><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">|</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q7754 ;
    wdt:P31 wd:Q28113351,
        wd:Q65943 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2778525154" ;
    wdt:P646 "/m/0284cpd" ;
    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>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\"><mi>max</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> .

