hyperoperation

generalization of addition, multiplication, exponentiation, tetration, etc.
rdfs:label
"hyperoperation"@en
skos:altLabel
"hyperoperation sequence"@en
"hyperoperations"@en
schema:description
"generalization of addition, multiplication, exponentiation, tetration, etc."@en
schema:dateModified "2026-11-02T03:52:24+00:00"^^xsd:dateTime
schema:version 2563713677
wikibase:identifiers 3
wikibase:sitelinks 23
wikibase:statements 13
p:P1482 wd:statement/Q1569997-edc72c81-4609-09e8-0a42-a484a67165c0
p:P18 wd:statement/Q1569997-1e1f5a48-4bdc-fe15-45c4-831df5a062a9
p:P2534 wd:statement/Q1569997-a6c7a55f-4bc5-e905-b41a-7c9eb49de7f0
p:P279 wd:statement/Q1569997-1cf536c8-4f1c-788c-d6be-6b2a6c147cc8
p:P373 wd:statement/Q1569997-6f81c75a-4a00-e19f-0ec5-7b75f6a862be
p:P6104 wd:statement/Q1569997-C5DE8D7B-2642-443A-8524-E946BA3044D5
p:P6366 wd:statement/Q1569997-F5652C9B-E1A0-4881-B855-FCFD55708551
p:P646 wd:statement/Q1569997-34B2578E-7DF5-40DF-BB8A-2A95E7C14C9D
p:P6900 wd:statement/Q1569997-0c6c64a5-4a3a-e6e1-9331-2c863b2f2335
p:P7235 wd:statement/Q1569997-26164ecb-4549-582e-1cb0-70a71c84a9e3
wd:statement/Q1569997-2ae7ca5d-49b9-9855-a97a-2f531b735227
wd:statement/Q1569997-8a9a498c-4e57-1e51-ccea-11f351e750ed
p:P910 wd:statement/Q1569997-612537bb-4eac-4ede-b160-05d86e48c0d4
p:direct-normalized/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 operation (mathematics)
wdt:P373 "Hyperoperations"
wdt:P6104 WikiProject Mathematics
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 Category:Hyperoperations
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