Gateaux derivative
generalization of the concept of directional derivative, defined for functions between locally convex topological vector spaces
| rdfs:label |
"Gateaux derivative"@en
|
| schema:description |
"generalization of the concept of directional derivative, defined for functions between locally convex topological vector spaces"@en
|
|
schema:date |
"2026-09-07T10:48:28+00:00"^^xsd:dateTime |
| schema:version | 2541643423 |
| wikibase:identifiers | 2 |
| wikibase:sitelinks | 9 |
| wikibase:statements | 7 |
| p:P138 | wd:statement/Q919459-f6209559-4a61-3c5b-c6e3-db8ec7fbb0dd |
| p:P2534 | wd:statement/Q919459-52e150e3-491a-c6a3-339e-6a5e1a3d6fa5 |
| p:P279 | wd:statement/Q919459-c52d53c3-4682-36fb-9a25-9836a733dce2 |
| p:P31 | wd:statement/Q919459-c4beef16-4800-12da-d873-710b64a57a05 |
| p:P6104 | wd:statement/Q919459-DEB47445-C303-42B8-9D6C-28ADF6E3C899 |
| p:P6366 | wd:statement/Q919459-89FAE63D-2389-41FC-9332-3488220170DF |
| p:P646 | wd:statement/Q919459-8E4B9352-B1EC-4FAE-A6AE-2E78B85DBF66 |
|
p:direct- |
<https:/ |
| wdt:P138 | René Gateaux |
| 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"><mi mathvariant="normal">d</mi></mrow><mi>F</mi><mo stretchy="false">(</mo><mi>u</mi><mo>;</mo><mi>ψ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munder><mi form="prefix">lim</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mo stretchy="false" accent="false">→</mo><mn>0</mn></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mo stretchy="false">(</mo><mi>u</mi><mo stretchy="false">+</mo><mi>t</mi><mi>ψ</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>F</mi><mo stretchy="false">(</mo><mi>u</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | derivative |
| wdt:P31 | mathematical concept |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "100512324" |
| wdt:P646 | "/m/06zfq4" |
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