Jacobian matrix
the matrix of all first-order partial derivatives of a vector-valued function
| rdfs:label |
"Jacobian matrix"@en
|
|
skos:alt |
"Jacobi matrix"@en
"Jacobi system"@en
"Jacobian"@en
|
| schema:description |
"the matrix of all first-order partial derivatives of a vector-valued function"@en
|
|
schema:date |
"2026-09-27T20:39:26+00:00"^^xsd:dateTime |
| schema:version | 2550160371 |
| wikibase:identifiers | 17 |
| wikibase:sitelinks | 35 |
| wikibase:statements | 24 |
| p:P10283 | wd:statement/Q506041-462A5120-11DF-4FFD-8155-4B5697AF1D7F |
| p:P10376 | wd:statement/Q506041-2f65a4c3-4e0f-034f-7c31-642c4a617d89 |
| wd:statement/Q506041-593d8cc1-435b-7653-ac92-28ee9c5f0ca8 | |
| wd:statement/Q506041-919fb34f-4799-64a6-76c1-4e5bde01052a | |
| p:P1051 | wd:statement/Q506041-5BC517B4-A151-4665-B0D5-3E9C5922A747 |
| p:P138 | wd:statement/q506041-3B042FA5-8EF7-4582-B37D-6D9AAF3B334B |
| p:P1889 | wd:statement/Q506041-445ca062-4795-2900-d1fc-76739f99abd0 |
| p:P227 | wd:statement/Q506041-6B5DB978-6283-40B2-BCB8-EC68F7FF38BE |
| p:P2347 | wd:statement/Q506041-7CE6B4B6-E67E-4A1F-855D-C54DABEBEE60 |
| p:P2534 | wd:statement/Q506041-0CB47DEF-DC97-4FD8-A116-E3ED1F624160 |
| p:P279 | wd:statement/Q506041-A570A10C-190C-4BAE-8187-1BC3F9AD853E |
| p:P2812 | wd:statement/Q506041-777064AD-07A7-42AF-881C-5AADB9D4E799 |
| p:P31 | wd:statement/Q506041-7368ec38-47bb-db23-2427-c746cbf131bd |
| p:P3417 | wd:statement/Q506041-89E80E8B-1927-4E21-B3A5-0F137A727735 |
| p:P3827 | wd:statement/Q506041-8CA55822-D9BD-4844-B684-A7E0C62916A5 |
| p:P4215 | wd:statement/Q506041-a8908ee1-4897-8b44-1fe7-b70c5c4f66a8 |
| p:P4746 | wd:statement/Q506041-6B2B68F2-4CF3-46E4-BDA6-2A5800E9DD73 |
| p:P527 | wd:statement/Q506041-77dee863-4452-e60c-3272-fb7ebd38acbe |
| p:P6104 | wd:statement/Q506041-87275EEA-A057-414C-B154-D1A0514372A9 |
| p:P6366 | wd:statement/Q506041-FCA48777-326F-4507-833B-387AB92E528F |
| p:P646 | wd:statement/Q506041-4F01C9CE-3773-40CF-9049-9071A47E7175 |
| p:P7305 | wd:statement/Q506041-FE7DF145-137B-427F-9233-2F2FAB6E5757 |
| p:P7554 | wd:statement/Q506041-4dd99dba-4056-040f-e533-714c11ddb452 |
| p:P9621 | wd:statement/Q506041-888F7618-9372-4B90-825B-D783729D218D |
|
p:direct- |
<https:/ |
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C200331156" |
| wdt:P10376 | "computer-science/jacobian-matrix" |
| "engineering/jacobian-matrix" | |
| "mathematics/jacobi-matrix" | |
| wdt:P1051 | "7475" |
| wdt:P138 | Carl Gustav Jacob Jacobi |
| wdt:P1889 | Jacobian determinant |
| wdt:P227 | "4155678-1" |
| wdt:P2347 | "29745" |
| 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>J</mi><mrow data-mjx-texclass="ORD"><mi>𝐟</mi></mrow><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo></mtd><mtd><mo stretchy="false">⋯</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><mo stretchy="false">⋮</mo></mtd><mtd><mo stretchy="false">⋱</mo></mtd><mtd><mo stretchy="false">⋮</mo></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo></mtd><mtd><mo stretchy="false">⋯</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | matrix |
| wdt:P2812 | "Jacobian" |
| wdt:P31 | mathematical concept |
| wdt:P3417 | "Jacobian" |
| wdt:P3827 | "jacobians" |
| wdt:P4215 | "Jacobian" |
| wdt:P4746 | "138341" |
| wdt:P527 | partial derivative |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "200331156" |
| wdt:P646 | "/m/01brkw" |
| wdt:P7305 | "3916374" |
| wdt:P7554 | "Jacobian" |
| wdt:P9621 | "matrice-jacobiana" |
Download as: