@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:Q1569997 rdfs:label "عمليه زايده"@arz,
        "гіпэрапэрацыя"@be-tarask,
        "hiperoperació"@ca,
        "hyperoperace"@cs,
        "Гипероператор"@cv,
        "Hyperoperation"@da,
        "Hyper-Operator"@de,
        "hyperoperation"@en,
        "hiperoperatoro"@eo,
        "hiperoperación"@es,
        "hipereragiketa"@eu,
        "Hyperoperaatio"@fi,
        "hyperopération"@fr,
        "hiperoperación"@gl,
        "היפר-פעולות"@he,
        "ハイパー演算子"@ja,
        "하이퍼 연산"@ko,
        "hiperoperasi"@ms,
        "hiperoperação"@pt,
        "hiperoperație"@ro,
        "гипероператор"@ru,
        "hiperoperacija"@sl,
        "Hiperişlem"@tr,
        "гіпероператор"@uk,
        "hệ vi thừa"@vi,
        "超運算"@zh,
        "超运算"@zh-hans,
        "超運算"@zh-hant,
        "超運算"@zh-hk,
        "超運算"@zh-tw ;
    schema1:dateModified "2026-11-02T03:52:24+00:00"^^xsd:dateTime ;
    schema1:description "Generalització de la suma, multiplicació, exponenciació, tetració, etc"@ca,
        "zobecnění matematických operací sčítání, násobení, mocnění, tetrace atd."@cs,
        "Fortsetzung der herkömmlichen mathematischen Operatoren der Addition, Multiplikation und Potenzierung"@de,
        "generalization of addition, multiplication, exponentiation, tetration, etc."@en,
        "yhteenlaskun, kertolaskun ja potenssiinkorotuksen yleistys"@fi,
        "xeneralización de suma, multiplicación, exponenciación, tetración, etc."@gl,
        "פעולה מתמטית המהווה חזרה רצופה במספר נתון של פעמים על פעולה אחרת. הכללה של המושג כפל כהיפר פעולה של חיבור, חזקה כהיפר פעולה של כפל וכן הלאה"@he,
        "加法・乗法の一般化"@ja,
        "generalizare a adunării, înmulțirii, exponențierii, tetrației etc."@ro,
        "обобщение традиционных арифметических операторов на высшие порядки"@ru,
        "二元運算序列"@zh,
        "二元运算序列"@zh-hans,
        "加法、乘法、次方之一般化運算"@zh-tw ;
    schema1:version 2563713677 ;
    wikibase:identifiers 3 ;
    wikibase:sitelinks 23 ;
    wikibase:statements 13 ;
    skos:altLabel "hiperoperador"@ca,
        "successió d’hiperoperació"@ca,
        "Hyper4"@de,
        "Hyperoperator"@de,
        "Knuths Pfeilnotation"@de,
        "Superpotenz"@de,
        "Tetration"@de,
        "hyperoperation sequence"@en,
        "hyperoperations"@en,
        "Hiper-operacio"@eo,
        "Hiper-operatoro"@eo,
        "Hiperoperacio"@eo,
        "Hyper"@eo,
        "hyperopérateur"@fr,
        "ハイパー演算"@ja,
        "ハイパー関数"@ja,
        "Гексация"@ru,
        "Гептация"@ru,
        "Декация"@ru,
        "Октация"@ru,
        "Эннеация"@ru,
        "Hyper運算符"@zh ;
    p:P1482 wds:Q1569997-edc72c81-4609-09e8-0a42-a484a67165c0 ;
    p:P18 wds:Q1569997-1e1f5a48-4bdc-fe15-45c4-831df5a062a9 ;
    p:P2534 wds:Q1569997-a6c7a55f-4bc5-e905-b41a-7c9eb49de7f0 ;
    p:P279 wds:Q1569997-1cf536c8-4f1c-788c-d6be-6b2a6c147cc8 ;
    p:P373 wds:Q1569997-6f81c75a-4a00-e19f-0ec5-7b75f6a862be ;
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    p:P6366 wds:Q1569997-F5652C9B-E1A0-4881-B855-FCFD55708551 ;
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    wdtn:P6366 <https://makg.org/entity/2781396212> ;
    wdt:P1482 <https://math.stackexchange.com/tags/hyperoperation> ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Hyperoperation%203%20and%20n%20with%20real%20number.svg> ;
    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\"><mi>a</mi><msup><mo stretchy=\"false\">&#x2191;</mo><mrow data-mjx-texclass=\"ORD\"><mi>m</mi></mrow></msup><mi>b</mi><mo stretchy=\"false\">=</mo><munder><mrow data-mjx-texclass=\"OP\"><munder><mrow data-mjx-texclass=\"ORD\"><mi>a</mi><msup><mo stretchy=\"false\">&#x2191;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>m</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mi>a</mi><msup><mo stretchy=\"false\">&#x2191;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>m</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">[</mo><mi>a</mi><msup><mo stretchy=\"false\">&#x2191;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>m</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mo stretchy=\"false\">&#x2026;</mo><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">[</mo><mi>a</mi><msup><mo stretchy=\"false\">&#x2191;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>m</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mi>a</mi><msup><mo stretchy=\"false\">&#x2191;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>m</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mi>a</mi><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow><mo data-mjx-texclass=\"CLOSE\">]</mo></mrow><mo stretchy=\"false\">&#x2026;</mo><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow><mo data-mjx-texclass=\"CLOSE\">]</mo></mrow><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow></mrow><mo>&#x23DF;</mo></munder></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>b</mi><mrow data-mjx-texclass=\"ORD\"><mtext>&#xA0;copies of&#xA0;</mtext></mrow><mi>a</mi></mstyle></mrow></mrow></munder><mo>,</mo><mspace width=\"1em\"></mspace><mi>m</mi><mo stretchy=\"false\">&#x2265;</mo><mn>0</mn></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q3884033 ;
    wdt:P373 "Hyperoperations" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2781396212" ;
    wdt:P646 "/m/05_5v_r" ;
    wdt:P6900 "ハイパー演算子" ;
    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>a</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>m</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\"><mo stretchy=\"false\">&#x2191;</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P910 wd:Q9895756 .

