generalized mean
n-th root of the arithmetic mean of the given numbers raised to the power n
| rdfs:label |
"generalized mean"@en
|
|
skos:alt |
"Hölder mean"@en
"Minkowski mean"@en
"generalized means"@en
"power mean"@en
|
| schema:description |
"n-th root of the arithmetic mean of the given numbers raised to the power n"@en
|
|
schema:date |
"2026-11-06T14:09:12+00:00"^^xsd:dateTime |
| schema:version | 2565415748 |
| wikibase:identifiers | 6 |
| wikibase:sitelinks | 23 |
| wikibase:statements | 17 |
| p:P10283 | wd:statement/Q855729-972241CA-8A8B-4354-9227-BD1E5120B049 |
| p:P138 | wd:statement/Q855729-09f80596-45fa-7f98-08f8-b61ca744bcd1 |
| wd:statement/Q855729-77a7c774-4e09-2c3e-5324-0988fb4c2031 | |
| wd:statement/Q855729-adfc22cf-49dc-2892-c4fc-b6f3f770a532 | |
| p:P144 | wd:statement/Q855729-86f35676-471d-6508-f9e1-d474d3cae540 |
| p:P1889 | wd:statement/Q855729-9bc1e7e5-4c8d-dc7d-1577-813ba5d0de91 |
| p:P2534 | wd:statement/Q855729-B3EDF2F7-7F0F-4961-9C6B-2BF0D9D7BD9D |
| p:P279 | wd:statement/Q855729-1433507c-4344-1fc1-12f5-e645e8a0bc1f |
| wd:statement/Q855729-22bb8e19-4ce4-dbf8-05f9-65b367081d93 | |
| wd:statement/Q855729-63c12f4d-457e-3698-1a85-49703a3cfc2d | |
| p:P2812 | wd:statement/Q855729-98C79939-2E82-46C2-AF2C-2295C05BD5E8 |
| p:P31 | wd:statement/Q855729-c316db8b-46f3-6261-301b-359812bc39ce |
| p:P4746 | wd:statement/Q855729-8C0C498F-55C8-4A90-BA0B-BF1574FD45E2 |
| p:P6104 | wd:statement/Q855729-0EAC64BC-2258-4998-BB95-95254F79126C |
| p:P6366 | wd:statement/Q855729-93EDA65D-51DE-4143-8D08-B1200FF4F1E1 |
| p:P646 | wd:statement/Q855729-A51E2C2A-905D-4BB2-94CF-B872B313ED00 |
| p:P6781 | wd:statement/Q855729-26daeb07-45df-aacb-76ef-887b833b5fc0 |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C117355083" |
| wdt:P138 | power |
| Hermann Minkowski | |
| Otto Hölder | |
| wdt:P144 | arithmetic mean |
| wdt:P1889 | generalized means |
| 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"><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</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>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></mfrac></mrow></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | mean |
| weighted power mean | |
| quasi-arithmetic mean | |
| wdt:P2812 | "PowerMean" |
| wdt:P31 | type of statistic |
| wdt:P4746 | "133934" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "117355083" |
| wdt:P646 | "/m/03frh" |
| wdt:P6781 | "Definition:Hölder_Mean" |
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