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Is the vector field generated by $\langle-y,x \rangle$ a gradient vector field?

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#multivariable-calculus #vector-fields
384
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Intrinsic derivative of a vector field at a zero

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#derivatives #vector-fields #symplectic-geometry
1.4k
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Are integral curves of a vector field $X$ such that $\nabla_X X = 0$ geodesics?

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#ordinary-differential-equations #riemannian-geometry #smooth-manifolds #vector-fields
165
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push forward of a vector field

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#differential-geometry #vector-fields
283
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poisson and hamiltonian vector fields

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#vector-fields #symplectic-geometry #hamiltonian-path #poisson-geometry
413
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Prove that there is a differential equation whose flow is $\phi$

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#ordinary-differential-equations #differential-geometry #vector-fields
889
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Verify the divergence theorem for this surface and vector field.

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#multivariable-calculus #vector-analysis #vector-fields #divergence-operator #gaussian-integral
1.3k
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Left-invariant vector fields versus right-invariant vector fields

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#lie-groups #lie-algebras #vector-fields
66
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show that any orbit that intercepts the unitary sphere $S^{n-1}$ is contained in it also

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#ordinary-differential-equations #vector-fields
3k
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BAC─CAB rule used on del operators

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#notation #derivatives #vector-fields
246
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Confusion in differential forms Spivak

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#calculus #real-analysis #multivariable-calculus #differential-geometry #vector-fields
288
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Lie Derivative equals the commutator of two vector fields

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#differential-geometry #derivatives #vector-fields
33
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Locus of Triple Cross Product

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#vector-spaces #vectors #vector-fields
136
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Help with triple integrals and upward flux of vector field

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#definite-integrals #vector-fields
849
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Finding the flux of a cylinder using the Divergence Theorem

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#vector-fields #divergence-operator #parametrization

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