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Can a tangent vector extend to a vector field?

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#differential-geometry #smooth-manifolds #vector-fields
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dropping a particle into a vector field

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#ordinary-differential-equations #multivariable-calculus #vector-fields
344
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dropping a particle into a vector field, part 2

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#ordinary-differential-equations #multivariable-calculus #vector-fields
12.4k
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Compute the pushforward of the vector field $\frac{\partial}{\partial x^1}$ via a given function $\phi$

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#differential-geometry #polar-coordinates #vector-fields
6.2k
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Why does the vector Laplacian involve the double curl of the vector field?

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#vector-analysis #vector-fields
459
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Particle in a Polya Vector field

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#complex-analysis #ordinary-differential-equations #physics #classical-mechanics #vector-fields
156
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Is this union of tangent spaces a known object in Algebraic Geometry?

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#algebraic-geometry #algebraic-curves #plane-curves #vector-fields
449
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How to show a flow is a rotation of $R^{3}$

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#differential-geometry #vector-fields
546
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Flow of a Vector Field

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#vector-fields
934
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Prove that there are no fixed points in a non-autonomous system

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#ordinary-differential-equations #dynamical-systems #vector-fields
188
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Push-forward vector space calculation

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#real-analysis #vector-fields
175
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Group generated by several vector fields

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#differential-geometry #lie-groups #vector-fields
1k
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Show that $S^n \times \mathbb R$ is parallelizable

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#differential-geometry #differential-topology #smooth-manifolds #vector-fields #tangent-bundle
733
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What does a symplectic vector field means in terms of the physics of a system?

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#manifolds #mathematical-physics #classical-mechanics #vector-fields #symplectic-geometry
726
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Divergence-free vector field from skew-symmetric matrix

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#real-analysis #matrices #vector-fields

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