| rdfs:label |
"Euler–Maclaurin formula"@en
|
|
skos:alt |
"formula de Euler-Maclaurin"@es
|
| schema:description |
"theorem"@en
|
|
schema:date |
"2026-07-14T14:04:34+00:00"^^xsd:dateTime |
| schema:version | 2517410754 |
| wikibase:identifiers | 3 |
| wikibase:sitelinks | 23 |
| wikibase:statements | 10 |
| p:P138 | wd:statement/Q282023-1f742839-4ec5-bbae-07b6-6d834cac2c43 |
| wd:statement/Q282023-ec05e163-47c6-1941-90a0-ac41073f6924 | |
| p:P2534 | wd:statement/Q282023-5a30277b-4652-999a-92fd-5477e24a19a8 |
| p:P2579 | wd:statement/Q282023-2f31766f-4c6e-b00c-419e-b99065842f3e |
| p:P2812 | wd:statement/Q282023-F66A86A5-2886-4854-B6FC-8AFB4A9E6E08 |
| p:P31 | wd:statement/Q282023-5234d766-445d-02f8-e995-9aea386092f7 |
| wd:statement/Q282023-D7BCB045-DF05-4868-8028-9ED128566DF7 | |
| p:P6104 | wd:statement/Q282023-F92E335D-36C9-43C3-8B66-4D08EE956005 |
| p:P6366 | wd:statement/Q282023-2CDF0A83-0B1C-4981-B6C2-44F0468F6BB0 |
| p:P646 | wd:statement/Q282023-81AAE278-1448-425A-A509-364D2C19BC0C |
|
p:direct- |
<https:/ |
| wdt:P138 | Leonhard Euler |
| Colin MacLaurin | |
| 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"><munder><mo form="prefix" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mo stretchy="false">⩽</mo><mi>k</mi><mo><</mo><mi>b</mi></mrow></mrow></munder><mi>f</mi><mo stretchy="false">(</mo><mi>k</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></munderover><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi><mo stretchy="false">+</mo><msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><munderover><mo form="prefix" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><msup><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msubsup><mo stretchy="false">+</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>,</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msup><munderover><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mo fence="false" stretchy="false">{</mo><mi>x</mi><mo fence="false" stretchy="false">}</mo><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><msup><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2579 | approximation theory |
| wdt:P2812 | "Euler-MaclaurinIntegrationFormulas" |
| wdt:P31 | theorem |
| formula | |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "51074892" |
| wdt:P646 | "/m/02mjj" |
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