Cauchy principal value
value that can be assigned to certain divergent integrals over a finite interval
| rdfs:label |
"Cauchy principal value"@en
|
|
skos:alt |
"Cauchy-Hauptwert"@de |
| schema:description |
"value that can be assigned to certain divergent integrals over a finite interval"@en
|
|
schema:date |
"2026-09-07T10:47:15+00:00"^^xsd:dateTime |
| schema:version | 2541643008 |
| wikibase:identifiers | 7 |
| wikibase:sitelinks | 18 |
| wikibase:statements | 15 |
| p:P10283 | wd:statement/Q769374-B928820A-2437-4A06-9252-55CD04248654 |
| p:P11497 | wd:statement/Q769374-1334b02c-4507-0261-76fb-b6a0212ce0d6 |
| p:P1343 | wd:statement/Q769374-a12cefa1-4bf7-243f-2604-220fd81bcfac |
| p:P138 | wd:statement/q769374-339C06FF-5104-4E1E-A65A-FDA93998186C |
| p:P1889 | wd:statement/Q769374-afc50626-40f7-797e-c734-788bcb2bf40b |
| p:P227 | wd:statement/Q769374-f4429317-4f75-43a9-ebf8-beeb287949fd |
| p:P2534 | wd:statement/Q769374-E28BD3FF-2F3D-4B69-9F22-ECF02A267100 |
| p:P279 | wd:statement/Q769374-9f9e5b8e-4e64-9274-35e7-fe5bb79019a6 |
| p:P2812 | wd:statement/Q769374-27d18cd3-48b6-7ec7-0f3c-ec862e0af349 |
| p:P31 | wd:statement/Q769374-82c4d2d7-4dc8-fff1-f12c-282b7ad995cf |
| p:P4215 | wd:statement/Q769374-9BD3B7F3-38D6-4087-A528-F78207871513 |
| p:P6104 | wd:statement/Q769374-E91713F3-E2FE-4D01-AE1E-918190124C65 |
| p:P6366 | wd:statement/Q769374-63387B60-0E55-443F-9245-B498488F6C96 |
| p:P646 | wd:statement/Q769374-AABF0C13-EC20-44A2-828D-84F8A0E63D89 |
| p:P7235 | wd:statement/Q769374-3a6cb2a3-4988-5f12-1411-2e2397c8e1e9 |
|
p:direct- |
<https:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C10682574" |
| wdt:P11497 | "1.4.E24" |
| wdt:P1343 | ISO 80000-2:2019 Quantities and units — Part 2: Mathematics |
| wdt:P138 | Augustin-Louis Cauchy |
| wdt:P1889 | Cauchy principal value |
| wdt:P227 | "4359631-9" |
| 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"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">P</mi><mi mathvariant="normal">V</mi></mrow></mrow><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><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>x</mi><mo stretchy="false">=</mo><munder><mi form="prefix">lim</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>δ</mi><mo stretchy="false" accent="false">→</mo><mn>0</mn><mo stretchy="false">+</mo></mrow></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><munderover><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mo stretchy="false">−</mo><mi>δ</mi></mrow></mrow></munderover><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>x</mi><mo stretchy="false">+</mo><munderover><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mo stretchy="false">+</mo><mi>δ</mi></mrow></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><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | integral |
| wdt:P2812 | "CauchyPrincipalValue" |
| wdt:P31 | mathematical concept |
| wdt:P4215 | "Cauchy principal value" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "10682574" |
| wdt:P646 | "/m/024qfr" |
| 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"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">P</mi><mi mathvariant="normal">V</mi></mrow></mrow><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><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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