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One-form

In differential geometry, a one-form (or covector field) on a differentiable manifold is a differential form of degree one, that is, a smooth section of the cotangent bundle. Equivalently, a one-form on a manifold M {\displaystyle M} is a smooth mapping of the total space of the tangent bundle of M {\displaystyle M} to R {\displaystyle \mathbb {R} }…

Examples, Overview & Differential of a function

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Examples

Differential of a function

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One-form

Nodes27
Edges26
Triples10
Avg. degree1.93
Density0.074074
Components1

How this topic connects Entity context

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One-form

Top relations

related to Examples · 8
One-form → In, Integrating, It, Rham, Taking, The, This, While
is a · 2
One-form → linear combination of the differentials of the coordinates, order 1 covariant tensor field

Important terminology Word statistics

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Important terminology

displaystyle differential smooth derivative form linear function angle space local covariant geometry total tangent mathbb covector field manifold one bundle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
One-formis alinear combination of the differentials of the coordinates0.90text
One-formis aorder 1 covariant tensor field0.90text
One-formrelated to ExamplesThe0.60section
One-formrelated to ExamplesThis0.60section
One-formrelated to ExamplesTaking0.60section
One-formrelated to ExamplesWhile0.60section
One-formrelated to ExamplesIntegrating0.60section
One-formrelated to ExamplesIn0.60section
One-formrelated to ExamplesIt0.60section
One-formrelated to ExamplesRham0.60section

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    Min side: 3
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