@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:Q268031 rdfs:label "نظرية أبيل ذات الحدين"@ar,
        "Teorema binomial d'Abel"@ca,
        "Abels binomiale teorem"@da,
        "Abel's binomial theorem"@en,
        "dunomialo-teoremo de Abel"@eo,
        "قضیه دوجملهای آبل"@fa,
        "théorème binomial d'Abel"@fr,
        "Abel binomiális tétele"@hu,
        "ទ្រឹស្តីបទទ្វេធាអាបែល"@km,
        "အာဘဲလ်၏ ဘိုင်နိုမီရယ် သီအိုရမ်"@my,
        "Abels binomiale teorem"@nb,
        "teorema binomial de Abel"@pt,
        "Биномиальная теорема Абеля"@ru,
        "Abelov binomski izrek"@sl,
        "Abels binomialsats"@sv,
        "ஏபலின் ஈருறுப்புத் தேற்றம்"@ta ;
    schema1:dateModified "2026-09-06T17:41:10+00:00"^^xsd:dateTime ;
    schema1:description "teorema"@ca,
        "mathematischer Satz"@de,
        "theorem"@en,
        "matematikai állítás"@hu,
        "matematisk teorem"@nb,
        "teorema"@pt ;
    schema1:version 2541223752 ;
    wikibase:identifiers 4 ;
    wikibase:sitelinks 10 ;
    wikibase:statements 12 ;
    p:P138 wds:Q268031-af1e728a-492d-9973-b338-423eb2bf81a2 ;
    p:P2534 wds:Q268031-45357ada-4ace-ca40-8a3b-f502a98fef62 ;
    p:P2579 wds:Q268031-31cfbdc1-47e9-0e38-5c7b-66acfae4e909 ;
    p:P2812 wds:Q268031-53B23012-EDC3-47C0-BB30-1AD86A4705C6,
        wds:Q268031-C45276BA-C953-4BED-82CE-0C12BDC34021 ;
    p:P31 wds:Q268031-FA125D2E-73DD-4C1B-84D8-83F923E2BC28 ;
    p:P361 wds:Q268031-D62085B1-C98D-45CD-BD4E-4F446F04116F ;
    p:P6104 wds:Q268031-BBB1C009-F1E2-4910-A1AC-2C3087B7FEBF ;
    p:P6366 wds:Q268031-C8DAAF73-E9AC-4E39-B0DA-9F9003A359DB ;
    p:P646 wds:Q268031-BCF39007-7044-4734-9322-A0EB374B53DC ;
    p:P7235 wds:Q268031-130d2367-4bf5-1a7c-00c4-db8afec12238,
        wds:Q268031-c96cfb84-4739-a2db-74d9-7453534f865f ;
    wdtn:P6366 <https://makg.org/entity/2779641959> ;
    wdt:P138 wd:Q124115 ;
    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\"><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>n</mi></mrow></munderover></mstyle><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"OPEN\"><mo minsize=\"2.047em\">(</mo></mrow><mfrac linethickness=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></mfrac><mrow data-mjx-texclass=\"CLOSE\"><mo minsize=\"2.047em\">)</mo></mrow></mrow></mstyle></mrow><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">&#x2212;</mo><mi>k</mi><mi>z</mi><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>k</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mo stretchy=\"false\">(</mo><mi>y</mi><mo stretchy=\"false\">+</mo><mi>k</mi><mi>z</mi><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">&#x2212;</mo><mi>k</mi></mrow></mrow></msup><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">+</mo><mi>y</mi><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi>x</mi></mrow></mfrac></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q3968 ;
    wdt:P2812 "AbelsBinomialTheorem",
        "AbelsTheorem" ;
    wdt:P31 wd:Q65943 ;
    wdt:P361 wd:Q944443 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2779641959" ;
    wdt:P646 "/m/02vw65y" ;
    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\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"OPEN\"><mo minsize=\"2.047em\">(</mo></mrow><mfrac linethickness=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></mfrac><mrow data-mjx-texclass=\"CLOSE\"><mo minsize=\"2.047em\">)</mo></mrow></mrow></mstyle></mrow></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>k</mi><mo stretchy=\"false\">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></munderover></mstyle></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> .

