@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 wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q97485926 rdfs:label "Cauchy-Schwarz-Ungleichung für Summen"@de,
        "Cauchy–Schwarz inequality for sums"@en,
        "inégalité de Cauchy-Schwarz pour les sommes"@fr,
        "Cauchy's inequality"@my,
        "Cauchy-Schwarzova neenakost za vsote"@sl ;
    schema1:dateModified "2025-02-16T21:31:00+00:00"^^xsd:dateTime ;
    schema1:version 2312532066 ;
    wikibase:identifiers 4 ;
    wikibase:sitelinks 0 ;
    wikibase:statements 16 ;
    skos:altLabel "Cauchy-Schwarz inequality for sums"@en ;
    p:P11497 wds:Q97485926-7caf91b2-4290-fd8c-d8fc-b7b8d30191bc,
        wds:Q97485926-CFAD3C5F-E3FE-4F52-BC3E-BD076DF6C4B0 ;
    p:P138 wds:Q97485926-35385820-4f00-b055-68fe-0f65d2195fa5,
        wds:Q97485926-8c681edb-4357-3837-9510-6f1276576f99 ;
    p:P1889 wds:Q97485926-fca0f0c4-4228-d9fd-ac35-586d4cc3b328 ;
    p:P2534 wds:Q97485926-d7dbba09-454e-e17a-db71-ffe6901cfed1 ;
    p:P279 wds:Q97485926-2a452126-4a9b-19b5-5ccf-7905318ed22e ;
    p:P2812 wds:Q97485926-1a9cf08f-41fe-ad2a-a2e5-bf7441db6660 ;
    p:P31 wds:Q97485926-5d0385c6-46ba-1e0b-f453-cbb92357fff5,
        wds:Q97485926-f150c3d4-41e5-5242-4f45-be30a3309f66 ;
    p:P6104 wds:Q97485926-6C5FDE3E-0302-4147-8E1E-2642357F11F5 ;
    p:P6781 wds:Q97485926-2fe3e467-48bc-64b8-a352-cfa0371cbb0f ;
    p:P7235 wds:Q97485926-483ffdf0-4fcf-87e5-f5b2-0966f15b3cce,
        wds:Q97485926-948a54e5-4deb-a207-72b6-b612544f3fa8,
        wds:Q97485926-e6743ac5-44d4-d373-edd0-dd370fb466a9,
        wds:Q97485926-ebc954c7-4134-2926-019a-275dbd11c4d8 ;
    wdt:P11497 "1.2.E51",
        "1.7.E1" ;
    wdt:P138 wd:Q61223,
        wd:Q8814 ;
    wdt:P1889 wd:Q190546 ;
    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\"><msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mo stretchy=\"false\">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></munderover></mstyle><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">&#x2264;</mo><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mo stretchy=\"false\">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></munderover></mstyle><msubsup><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msubsup><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mo stretchy=\"false\">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></munderover></mstyle><msubsup><mi>b</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msubsup><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q28113351 ;
    wdt:P2812 "CauchysInequality" ;
    wdt:P31 wd:Q28113351,
        wd:Q65943 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6781 "Cauchy's_Inequality" ;
    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>n</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\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mo stretchy=\"false\">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></munderover></mstyle></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>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub></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>b</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> .